{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Optimization\n",
    "\n",
    "According to Wikipedia \"Bayesian optimization is a sequential design strategy for global optimization of black-box functions that doesn't require derivatives.\"\n",
    "\n",
    "We call this black-box function the **objective function**. We also use a **surrogate function** to estimate the objective function. The surrogate function consumes known points calculated by objective function and fit mean and standard deviation of the objective function. The output is then used by the **acquisition function** in searching for the next sample to exploit or explore.\n",
    "\n",
    "The trinity is demonstrated as follow:\n",
    "\n",
    "![Bayesian Optimization Process](bayesian_optimization/bayesian_optimization_process.png)\n",
    "\n",
    "We do all of this inside the **search space**.\n",
    "\n",
    "The whole process:\n",
    "\n",
    "0. Initiate x with the min and max of the search space.\n",
    "1. Calculate y using x and objective function.\n",
    "2. Fit the surrogate function.\n",
    "3. Find new x using acquisition function.\n",
    "4. Goto 1\n",
    "\n",
    "The surrogate function is usually the gussian process, and this is also what we use here.\n",
    "\n",
    "The acquisition function has several options: \n",
    "\n",
    "1. Probability of Improvement (PI).\n",
    "2. Expected Improvement (EI).\n",
    "3. Upper/Lower Confidence Bound (LCB/UCB).\n",
    "\n",
    "Here we use UCB.\n",
    "\n",
    "$$UCB(x;\\beta) =\\mu(x) + \\beta\\sigma(x)$$\n",
    "\n",
    "We set $\\beta=1$. Thus the acquisition function is:\n",
    "\n",
    "$$UCB(x) =\\mu(x) + \\sigma(x)$$\n",
    "\n",
    "$$x=\\underset{x\\in X}{\\operatorname{argmax}}UCB(x)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# example of a gaussian process surrogate function\n",
    "import math\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from sklearn.gaussian_process import GaussianProcessRegressor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first define the trinity here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# objective function\n",
    "def objective(x):\n",
    "    return ((x-0.47)**2 * math.sin(3 * x))\n",
    "\n",
    "#uppper confidence bound (UCB)\n",
    "#beta = 1\n",
    "def acquisition(mean, std):\n",
    "    mean=mean.flatten()\n",
    "\n",
    "    #UCB\n",
    "    upper=mean+std\n",
    "    #argmax\n",
    "    max_at=np.argmax(upper)\n",
    "    return X[max_at]\n",
    "\n",
    "#surrogate\n",
    "surrogate = GaussianProcessRegressor()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also need a plot function to present the result. Don't bother yourself with the plot function. Focus on what matters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot(X, y, xsamples, ysamples, mean, std, new_x, new_y, i):\n",
    "    mean=mean.reshape(-1,1)\n",
    "    std=std.reshape(-1,1)\n",
    "    plt.figure(figsize=(12,6))\n",
    "    plt.plot(X, y, label='objective')\n",
    "    \n",
    "    plt.scatter(xsamples, ysamples, label='explored samples')\n",
    "    plt.plot(X, mean, label='surrogate - mean', c='g')\n",
    "    plt.plot(X, mean+std, label='surrogate - upper/lower bound',c='g',linestyle='--',)\n",
    "    plt.plot(X, mean-std, c='g',linestyle='--',)\n",
    "    plt.scatter([new_x], [new_y], label='next sample(acquisition)', c='r')\n",
    "    plt.legend()\n",
    "    plt.title(f'Iteration {i}')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# search space [0,1]\n",
    "X = np.arange(0, 1, 0.01)\n",
    "X = X.reshape(-1,1)\n",
    "# calculate y\n",
    "y = np.array([objective(x) for x in X])\n",
    "y = y.reshape(-1,1)\n",
    "# find best result by grid search\n",
    "ix = np.argmax(y)\n",
    "\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.plot(X, y)\n",
    "plt.scatter(X[ix],y[ix])\n",
    "#plt.annotate(f'Optima {(X[ix], y[ix])}',(X[ix], y[ix]))\n",
    "plt.title('Objective Function')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following is the process:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.53] [0.00359934]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.91] [0.07745345]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.82] [0.07717875]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.87] [0.0811051]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\gaussian_process\\_gpr.py:362: UserWarning: Predicted variances smaller than 0. Setting those variances to 0.\n",
      "  warnings.warn(\"Predicted variances smaller than 0. \"\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAF1CAYAAAAa1Xd+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdd3zNZ//H8deVnUjESKxSQY3IJkOsJEbitilVpUaLqhtdFKWkbjpUx61604G0pW1aWropbWg0RqKxa1TRoEgiIYnMc/3+SJyfmKHhm/F5Ph4ezvnO9/d7ov3kOtf3upTWGiGEEEIIIcT/szA6gBBCCCGEEGWNFMlCCCGEEEJcQYpkIYQQQgghriBFshBCCCGEEFeQIlkIIYQQQogrSJEshBBCCCHEFaRIFkKICkYplaGUamx0DiGEKM+kSBZCiFKklDqqlOpS9HqEUir2Dp8vRik16vJlWmtHrfWRO3Cu5UqpU0qp80qpg1eeVwghKhIpkoUQooxSSlkZneEKLwFuWuuqQG9gjlKqtcGZhBDijpAiWQgh7gCllDuwGAgu6v6QVrTcVik1Xyl1XCl1Wim1WCllX7QuVCmVpJSaopT6G1imlKqulPpGKXVWKXWu6HX9ou3nAh2AhUXnWFi0XCul7it67ayU+rBo/2NKqRlKKYuidSOUUrFFec4ppf5USv3retektd6rtc659LboT5M7cf+EEMJoUiQLIcQdoLXeD4wF4oq6P1QrWvUK0AzwBe4D7gFmXrZrHaAG0BAYQ+F/p5cVvb8XuAgsLDrHdOAXYHzROcZfI8pbgDPQGAgBhgEjL1sfBBwAXIB5wBKllLredSml/qeUygJ+B04B35XkfgghRHkjRbIQQtwlRcXnaOAprXWq1voC8CLw4GWbmYBZWuscrfVFrXWK1nqV1jqraPu5FBa7JTmfJTAImKa1vqC1Pgq8Bjx82WbHtNbvaa0LgA+AukDt6x1Taz0OcKKwBfsLIOd62wohRHkmRbIQQtw9roADkKCUSivqgvFD0fJLzmqtsy+9UUo5KKXeKeoqcR7YBFQrKoBvxgWwAY5dtuwYha3Xl/x96YXWOqvopeONDqq1LtBaxwL1gcdLkEMIIcodKZKFEOLO0Ve8T6awu4SH1rpa0R9nrbXjDfZ5BmgOBBU9MNexaLm6zvZXni+Pwq4al9wLnLiFa7gRK6RPshCigpIiWQgh7pzTQH2llA2A1toEvAe8oZSqBaCUukcpFXGDYzhRWFinKaVqALOucY5rjolc1IXiM2CuUspJKdUQeBpYfqsXopSqpZR6UCnlqJSyLMo8GPjpVo8lhBDlgRTJQghx5/wE7AX+VkolFy2bAhwGthR1n1hPYUvx9bwJ2FPYKryFwu4Zl/svMKBodIoF19h/ApAJHAFigY+BpbdxLZrCrhVJwDlgPvCk1nrNbRxLCCHKPKX1jb6pE0IIIYQQovKRlmQhhBBCCCGuIEWyEEIIIYQQV5AiWQghhBBCiCtIkSyEEEIIIcQVpEgWQgghhBDiClZGB7iSi4uLdnNzMzqGEEIIIYSo4BISEpK11q7XWlfmimQ3Nzfi4+ONjiGEEEIIISo4pdSx662T7hZCCCGEEEJcQYpkIYQQQgghriBFshBCCCGEEFcoc32SryUvL4+kpCSys7ONjiLEHWdnZ0f9+vWxtrY2OooQQghRaZWLIjkpKQknJyfc3NxQShkdR4g7RmtNSkoKSUlJNGrUyOg4QgghRKVVLrpbZGdnU7NmTSmQRYWnlKJmzZryrYkQQghhsHJRJANSIItKQ37WhRBCCOOVmyK5LDp69Cienp7XXDdq1Cj27dt3y8dMTEzku+++M7//6quvePnll287oxBCCCGEuHXlok9yefT+++/f1n6JiYnEx8fTvXt3AHr37k3v3r1LM5oQQgghhLgJaUm+Ba+//jqenp54enry5ptvApCfn8/w4cPx9vZmwIABZGVlARAaGmqeOXDdunUEBwfTqlUrBg4cSEZGBgDbt2+nbdu2+Pj4EBgYSHp6OjNnziQ6OhpfX1+io6OJiopi/PjxpKen4+bmhslkAiArK4sGDRqQl5fHH3/8Qbdu3WjdujUdOnTg999/N+DuCCGEEEJUHOWuJfmFr/ey7+T5Uj1my3pVmdXL44bbJCQksGzZMrZu3YrWmqCgIEJCQjhw4ABLliyhXbt2PPLII/zvf/9j0qRJ5v2Sk5OZM2cO69evp0qVKrzyyiu8/vrrTJ06lUGDBhEdHU1AQADnz5/HwcGB2bNnEx8fz8KFCwGIiooCwNnZGR8fHzZu3EhYWBhff/01ERERWFtbM2bMGBYvXkzTpk3ZunUr48aN46effirVeySEEEIIUZmUuyLZKLGxsfTr148qVaoA0L9/f3755RcaNGhAu3btABg6dCgLFiwoViRv2bKFffv2mbfJzc0lODiYAwcOULduXQICAgCoWrXqTTNcKqrDwsL49NNPGTduHBkZGfz6668MHDjQvF1OTk6pXbcQQgghRGVU7orkm7X43ila62suv3Ikgivfa63p2rUrn3zySbHlu3btuuVRDHr37s20adNITU0lISGBTp06kZmZSbVq1UhMTLylYwkhhBDiH1ixAqZPh+PH4d57Ye5cGDLE6FSiFEmf5BLq2LEjq1evJisri8zMTL788ks6dOjA8ePHiYuLA+CTTz6hffv2xfZr06YNmzdv5vDhw0BhX+KDBw/SokULTp48yfbt2wG4cOEC+fn5ODk5ceHChWtmcHR0JDAwkCeeeIKePXtiaWlJ1apVadSoEZ9//jlQWJTv3LnzTt0GIYQQQqxYAWPGwLFjoHXh32PGFC4XFYYUySXUqlUrRowYQWBgIEFBQYwaNYrq1avj7u7OBx98gLe3N6mpqTz++OPmfZRSuLq6EhUVxeDBg/H29qZNmzb8/vvv2NjYEB0dzYQJE/Dx8aFr165kZ2cTFhbGvn37zA/uXWnQoEEsX76cQYMGmZetWLGCJUuW4OPjg4eHB2vWrLkr90QIIYSoLLTWZOcVcOZ8NodfXsCOag3Y2KgVv7j5csLJFZ2VVdiyLCoMdb1uBEbx9/fXl0aFuGT//v24u7sblOj2eHl58dVXX8nUwuK2lMefeSGEqEgu5haw/Wgqnyb+zKpD/yU19w9MKhcLbYelrk2+OkmBSgUKUNhgqZ1wzq6BX6OHCG0YTtvGTehwnwtWltIeWZYppRK01v7XWleiPslKqW7AfwFL4H2t9ctXrLcFPgRaAynAIK31UaWUNfA+0KroXB9qrV+67SspJ7p27YqXl5cUyEIIIUQ58mdyJp8m7OKb338mMfVLslQikA8K83fvWllQMysdbcrjorWJi1aafIsc8lUOKQ7JrD8dyfrTkaitDtirevRoPJJ5/3oCN5cqRl6auA03LZKVUpbA20BXIAnYrpT6Smt9+XRyjwLntNb3KaUeBF4BBgEDAVuttZdSygHYp5T6RGt9tLQvpCz58ccfjY4ghBBCiBLadiSZEasfY//5r7hUFCsLSxysHKhVxYX73fszpd0UXB1dC3e41Cc5K898jLM1bfn2P8M42MwFW4sqvLn1TdJyDvP5kel8vvB5ati04Pm2bzK2XSfsrC2NuVBxS0rSkhwIHNZaHwFQSn0K9AEuL5L7AJFFr1cCC1Xh0A0aqKKUsgLsgVygdAc5FkIIIYS4RSaTZs3OQ4z5fhDJuTtBaVDQtEYLnmozkRG+I7C3tr/2zpdGsbhsdAvXuXMZcdnoFrPCprP28FrGfzeRw+cOkZq3j6diwpm6sT5vh3/BI238b3mUK3F3laRIvgf467L3SUDQ9bbRWucrpdKBmhQWzH2AU4AD8JTWOvXKEyilxgBjAO69995bvAQhhBBCiJLRWvPhth1EbljA0dyPiopjRVC9Nqwe/CV1HOuU7EBDhtx0yLeI+yI4NPEABQUFzN44m6jEj/nrwp+MWtueyE2BrB22kpZ1a5fCVYk7oSS9ya/1a86VT/tdb5tAoACoBzQCnlFKNb5qQ63f1Vr7a639XV1dSxBJCCGEEOLW/JmSToN57RjxfQBH8z6krmNDprefQf6MPLaMjit5gXyLLC0teaHTCxx7+hAHxx/Exb4WSdmxeLxTh/Alo8gvMN2R84p/piRFchLQ4LL39YGT19umqGuFM5AKPAT8oLXO01qfATYD13yCUAghhBDiTigwaQZ9/ByN36rBiew4bCzt+GrQN5yc9CdzOv8HS8u710f4vpqNOT35GD2b9gMFPyYtwW6OEyt2rL9rGUTJlKRI3g40VUo1UkrZAA8CX12xzVfA8KLXA4CfdOHYcseBTqpQFaAN8HvpRBcAUVFRnDx55e8sQgghhADY9MdBqsxx4bODL4EyEVivLVnPXaBXix6GZbKwsODrh77g0PhDVLetRQFZDP2qK+NWv2JYJnG1mxbJWut8YDywFtgPfKa13quUmq2U6l202RKgplLqMPA0MLVo+duAI7CHwmJ7mdZ6VylfQ5mWn59/w/f/lBTJQgghxNVMJs2YzxYR8lFLcnQqDtZObHl0C1tHb76rLcc3cl/N+0idepr5XRaAsmRR4nRGRL9CWZvDorIq0QjXWuvvtNbNtNZNtNZzi5bN1Fp/VfQ6W2s9UGt9n9Y68NJIGFrrjKLlHlrrllrrV+/cpdw5mZmZ9OjRAx8fHzw9Pc0z4bm5uZGcnAxAfHw8oaGhAERGRjJmzBjCw8MZNmwYUVFRDBw4kF69ehEeHo7WmsmTJ+Pp6YmXl5f5eCaTiXHjxuHh4UHPnj3p3r07K1euBGD27NkEBATg6enJmDFj0FqzcuVK4uPjGTJkCL6+vly8eJGEhARCQkJo3bo1ERERnDp16pau1c3Njeeee47g4GD8/f3ZsWMHERERNGnShMWLF5u3e/XVVwkICMDb25tZs2aZl/ft25fWrVvj4eHBu+++a17u6OjI9OnT8fHxoU2bNpw+ffrWPwghhBCiBE5fSKfuPB/e2z+OKlY1eb3r22ROP09Q/SvHHSgbnmk3gcPjj+Bi25QPfp+K22v+5OWVbqOauHUlmkykLHnyhydJ/DuxVI/pW8eXN7u9ed31P/zwA/Xq1ePbb78FID09/abHTEhIIDY2Fnt7e6KiooiLi2PXrl3UqFGDVatWkZiYyM6dO0lOTiYgIICOHTuyefNmjh49yu7duzlz5gzu7u488sgjAIwfP56ZM2cC8PDDD/PNN98wYMAAFi5cyPz58/H39ycvL48JEyawZs0aXF1diY6OZvr06SxduvSW7keDBg2Ii4vjqaeeYsSIEWzevJns7Gw8PDwYO3Ys69at49ChQ2zbtg2tNb1792bTpk107NiRpUuXUqNGDS5evEhAQAD3338/NWvWJDMzkzZt2jB37lyeffZZ3nvvPWbMmHFLuYQQQoib+Tjxe4au6YWmgIZOHuyfsP36Q7mVIU1q3suBJ36l4RvNOJ65A4eXquNjsZyUDCvqVbNnckRz+vrdY3TMSqXcFclG8PLyYtKkSUyZMoWePXvSoUOHm+7Tu3dv7O3//x9l165dqVGjBgCxsbEMHjwYS0tLateuTUhICNu3byc2NpaBAwdiYWFBnTp1CAsLM+//888/M2/ePLKyskhNTcXDw4NevXoVO+eBAwfYs2cPXbt2BaCgoIC6deve8vX27t3bfN0ZGRk4OTnh5OSEnZ0daWlprFu3jnXr1uHn5wdARkYGhw4domPHjixYsIAvv/wSgL/++otDhw5Rs2ZNbGxs6NmzJwCtW7eWCVeEEEKUitW/neDVtQc4mXaRLPulnNFfgAK/2u3YMTbW6Hi3pIZDdZKnJFHz5XvJLDhDQv791GUhJ9IaMO2L3QBSKN9F5a5IvlGL753SrFkzEhIS+O6775g2bRrh4eHMnDkTKysrTKbCYVuys7OL7VOlSpXrvr9eX6PrLc/OzmbcuHHEx8fToEEDIiMjrzrfpf09PDyIi4u77rUUFBTQunVroLAYnj179lXb2NraAoUPFlx6fel9fn4+WmumTZvGY489Vmy/mJgY1q9fT1xcHA4ODoSGhppzWltbmwdNt7S0LPW+2UIIISqf1b+dYNoXu8nMy+OMzVRyiiYDHnjfND4b8qLB6W6PrZUtPlafEJ87nlyL/Zyy+zf1st+BvLq8uvaAFMl3UYn6JFd2J0+exMHBgaFDhzJp0iR27NgBFPbfTUhIAGDVqlUlPl7Hjh2Jjo6moKCAs2fPsmnTJgIDA2nfvj2rVq3CZDJx+vRpYmJigP8vwF1cXMjIyDD3UwZwcnLiwoULADRv3pyzZ8+ai+S8vDz27t1b7NyWlpYkJiaSmJh4zQK5JCIiIli6dCkZGRkAnDhxgjNnzpCenk716tVxcHDg999/Z8uWLbd1fCGEEKIkXl17gKy8bM7YPEeO5T4U9tTNfpsTf3UxOto/cjLtInVzX6VK/r8AE6dtZ6DJ5WTaRaOjVSrlriXZCLt372by5MlYWFhgbW3NokWLAJg1axaPPvooL774IkFBJX8YoF+/fsTFxeHj44NSinnz5lGnTh3uv/9+NmzYgKenJ82aNSMoKAhnZ2eqVavG6NGj8fLyws3NjYCAAPOxRowYwdixY7G3tycuLo6VK1cyceJE0tPTyc/P58knn8TDw6NU70d4eDj79+8nODgYKHwob/ny5XTr1o3Fixfj7e1N8+bNadOmTameVwghhLjc0bS/+Nv2KUwW53DMD6d63ngssCj3xWS9avacSLuIS/6/saYuadZLOWX7BK1s3jM6WqWiytowI/7+/jo+Pr7Ysv379+Pu7m5QorsrIyMDR0dHUlJSCAwMZPPmzdSpc2dmABJlV2X6mRdCiNvx05Ff6PxhCKBxzO9BzfzHzevuqWbP5qmdjAv3D13qRnIxrwCAs9Yvk2UVi4OlC5kzzhqcrmJRSiVora850Z10tyhjevbsia+vLx06dOD555+XAlkIIYS4wse7PqfzRx0BjaOpQ7EC2d7akskRzY0LVwr6+t3DS/29uKeaPQrwtp+FrapBVkEyDV4r39dWnkh3izLmUj9kIYQQQlzt9c0LeWb9BNDQu8loRnrOMo9uUZGGSuvrd0+x68jIOYHzy84kZRwk+N0uxI2RaazvNCmShRBCCFEuvB+/3Fwgj/KeyXv9XwAqx7BojrZ27Bt3mBb/c2PLyQ1MW/cSL4VPMzpWhSbdLYQQQghR5kX99gljvh2Nha7Cf7usNhfIlUlz1wZ8+8BGUJa8HPc8O08dNDpShSZFshBCCCHKtHmx8xn51UOgFZ/3+5WJ7fsYHckw3d3bE9VjLWgrQpZ1Jjc/1+hIFZYUyUIIIYQos/63bRFTNkwGDXM7LKe/j7fRkQw33L8zHesNIj0viRZv+Rkdp8KSIrmci4qK4uTJk0bH+Mfi4uIYPXo0MTEx5umr7zZHR8e7er6oqCjGjx9/V88phBDlyae7PuXf348DDSNbvsi0zv2NjlRmrBu5BEvs+fP8Pp754Tmj41RIUiTfYVdOv1za0zGX9yK5oKBwDMgffviBbt263fXzCiGEKJu2JW1j8JeDQUOvhs+y9AF5SO1yttZWrHlgA2h4fetLHE45bHSkCkeK5BLIzMykR48e+Pj44OnpSXR0NFA4LXVycjIA8fHxhIaGAhAZGcmYMWMIDw9n2LBhREVFMXDgQHr16kV4eDhaayZPnoynpydeXl7m45lMJsaNG4eHhwc9e/ake/fu5imoZ8+eTUBAAJ6enowZMwatNStXriQ+Pp4hQ4bg6+vLxYsXSUhIICQkhNatWxMREcGpU6du6VpvdE0PP/wwnTp1omnTprz3XuGsPzExMXTs2JF+/frRsmVLxo4di8lkAmDdunUEBwfTqlUrBg4caJ7G2s3NjdmzZ9O+fXs+//xzADZs2ECXLsWnEU1NTaVv3754e3vTpk0bdu3aBYCXlxdpaWloralZsyYffvghAA8//DDr16+noKCAyZMnExAQgLe3N++88445a1hYGA899BBeXl7XvP5nnnmGVq1a0blzZ86eLRywPTExkTZt2uDt7U2/fv04d+4cAKGhoVya+CY5ORk3Nzeg8BeX/v37061bN5o2bcqzzz5rPv6yZcto1qwZISEhbN68+ZY+GyGEqCxOZ5ymY1QYaGhX6zHWjHjZ6EhlUg/3YLrcOww0eC9uZXScCqdcDgEXGhV61bIHPB5gXMA4svKy6L6i+1XrR/iOYITvCJKzkhnw2YBi62JGxNzwfD/88AP16tXj22+/BSA9Pf2mGRMSEoiNjcXe3p6oqCji4uLYtWsXNWrUYNWqVSQmJrJz506Sk5MJCAigY8eObN68maNHj7J7927OnDmDu7s7jzzyCADjx49n5syZQGEx+M033zBgwAAWLlzI/Pnz8ff3Jy8vjwkTJrBmzRpcXV2Jjo5m+vTpLF269KZ5S2LXrl1s2bKFzMxM/Pz86NGjBwDbtm1j3759NGzYkG7duvHFF18QGhrKnDlzWL9+PVWqVOGVV17h9ddfN1+DnZ0dsbGxQGGBaW1tjbOzc7HzzZo1Cz8/P1avXs1PP/3EsGHDSExMpF27dmzevJmGDRvSuHFjfvnlF4YNG8aWLVtYtGgRS5YswdnZme3bt5OTk0O7du0IDw83Z92zZw+NGjW66voyMzNp1aoVr732GrNnz+aFF15g4cKFDBs2jLfeeouQkBBmzpzJCy+8wJtvvnnDe5WYmMhvv/2Gra0tzZs3Z8KECVhZWTFr1iwSEhJwdnYmLCwMPz/pSyaEEJc7deEUPosCyMnPo73LVGLGvohSyuhYZda6kVE4zV1PZv5JHlvzFO/0ecPoSBVGuSyS7zYvLy8mTZrElClT6NmzJx06dLjpPr1798be3t78vmvXrtSoUQOA2NhYBg8ejKWlJbVr1yYkJITt27cTGxvLwIEDsbCwoE6dOoSFhZn3//nnn5k3bx5ZWVmkpqbi4eFBr169ip3zwIED7Nmzh65duwKFXQrq1q1bGrcAgD59+mBvb4+9vT1hYWFs27aNatWqERgYSOPGjQEYPHgwsbGx2NnZsW/fPtq1awdAbm4uwcHB5mMNGjTI/HrdunXmIvZysbGxrFq1CoBOnTqRkpJCeno6HTp0YNOmTTRs2JDHH3+cd999lxMnTlCjRg0cHR1Zt24du3btMrfCp6enc+jQIWxsbAgMDLxmgQxgYWFhzjV06FD69+9Peno6aWlphISEADB8+HAGDhx403vVuXNnc9HfsmVLjh07RnJyMqGhobi6uprvwcGDMnyPEEJckpWbRZMFTbmYl0kr52f48bE5WFpIgXwjSil2jt1J87ebsjTxfZ5uO47mrk2NjlUhlMsi+UYtvw7WDjdc7+LgctOW4ys1a9aMhIQEvvvuO6ZNm0Z4eDgzZ87EysrK3LUgOzu72D5VqlS57nut9TXPc73l2dnZjBs3jvj4eBo0aEBkZORV57u0v4eHB3Fxcde9loKCAlq3bg0UFvKzZ88utv5G13Tlb/KX3l9rudaarl278sknn1wzx+X34/vvv+fpp5++5vVcSSlFx44defvttzl+/Dhz587lyy+/ZOXKleZfXrTWvPXWW0RERBTbNyYm5qrP5UZu1nJxo3tla2trfm1paWnuiy6tIUIIcW1aaxq8cS8X8zOpaunJ+jEvYmdtaXSscqGJiwtvd/mKsT+G4vdOAOnTzmJtaW10rHJP+iSXwMmTJ3FwcGDo0KFMmjSJHTt2AIV9axMSEgDMLZ4l0bFjR6KjoykoKODs2bNs2rSJwMBA2rdvz6pVqzCZTJw+fdo8RfWlAszFxYWMjAxzCymAk5MTFy5cAKB58+acPXvWXCTn5eWxd+/eYue2tLQkMTGRxMTEqwrkm13TmjVryM7OJiUlhZiYGAICAoDCLgx//vknJpOJ6Oho2rdvT5s2bdi8eTOHDxc+SJCVlXXNVlOtNbt27cLX1/ea92nFihVAYYHr4uJC1apVadCgAcnJyRw6dIjGjRvTvn175s+fby6SIyIiWLRoEXl5eQAcPHiQzMzM634el5hMJvO9/fjjj2nfvj3Ozs5Ur16dX375BYCPPvrI3Kp8+b26/DO5nqCgIGJiYkhJSSEvL8/cH1sIIQT4LPYlNTsFS12N7WN+pXoVG6MjlSuPtevAfU5hXCxIp8PSzkbHqRDKZUvy3bZ7924mT56MhYUF1tbWLFq0CCjsM/voo4/y4osvEhQUVOLj9evXj7i4OHx8fFBKMW/ePOrUqcP999/Phg0b8PT0pFmzZgQFBeHs7Ey1atUYPXo0Xl5euLm5mYtTgBEjRjB27Fjs7e2Ji4tj5cqVTJw4kfT0dPLz83nyySfx8PAocbYbXVNgYCA9evTg+PHjPP/889SrV4+DBw8SHBzM1KlT2b17t/khPgsLC6Kiohg8eDA5OTkAzJkzh2bNmhU7ZkJCAn5+ftdsYY2MjGTkyJF4e3vj4ODABx98YF4XFBRkHqGiQ4cOTJs2jfbt2wMwatQojh49SqtWrdBa4+rqyurVq2967VWqVGHv3r20bt0aZ2dn8wOVH3zwAWPHjiUrK4vGjRuzbNkyACZNmsQDDzzARx99RKdOnW56/Lp16xIZGUlwcDB169alVatWMsqGEEIAT/3wFLvP7AJtzRf9f6NZbSejI5VLsaNXU+eNqmw9+QsHzh6guWtzoyOVa+p6X/Ebxd/fX18aMeCS/fv34+7ublCiuysjIwNHR0dSUlIIDAxk8+bN1KlTx+hYREZG4ujoyKRJk4otj4mJYf78+XzzzTe3ddw5c+Zw33338eCDD5ZGzAqjMv3MCyEqt61JW2mzJBi0JZEBa5nV4+aNDuL6+nw4ga/+XEgN21qkTD1tdJwyTymVoLX2v9Y6aUkuY3r27ElaWhq5ubk8//zzZaJAvpNmzJhhdAQhhBAGiT0eS/cVvbHQ1eh373+Z2T3s5juJG1o15L/YzVlKas4ZVu79kgEe/YyOVG5JS7IQZZD8zAshKrqk9CQaLWhEfkE+bZwWsWHCKBxspO2uNCyMXcOE9X2pZlubc9P+NjpOmXajlmR5cE8IIYQQd5XJZML9bXfyTfm4qB6sfHS4FMilaHz7PrhXfYC03Mte/oYAACAASURBVNMs2PKe0XHKLSmShRBCCHFXBbwXQEZeBpYmV9YMjeKeavY330ncktVDFqO0A0+tHUdyZrLRccolKZKFEEIIcdfM2TiHHX/vAG3FS21/om0TF6MjVUjNalcn9J7hmMin9bslH4FL/D8pkoUQQghxVxxPO86sjZGgFd1c3+fpriUfolTcujUP/xeFNcfPH+Hbg98aHafckSL5LgsNDeXKBxNLw9GjR/H09Cz1494qNzc3kpPlax0hhBDFXci5wP2fD0BrhZvFZD4YNkimnL7DnOysGe/zGmi4/7MHjI5T7kiRXMbJZBNCCCEqAv/3/Ik/uZ3quaNZ/tBkajnZGR2pUniz93jsLFzJKchiwZb/GR2nXKmQRfLq307Q7uWfaDT1W9q9/BOrfzvxj4+5fPlyAgMD8fX15bHHHqOgoIBjx47RtGlTkpOTMZlMdOjQgXXr1nH06FFatGjB8OHD8fb2ZsCAAWRlZV11zE8++QQvLy88PT2ZMmWKebmjoyMzZ84kKCiIuLg4EhISCAkJoXXr1kRERHDq1CmgcLY6Hx8fgoODefvtt6+Z+9SpU3Ts2BFfX188PT3N0ys//vjj+Pv74+HhwaxZs8zbu7m58dxzzxEcHIy/vz87duwgIiKCJk2asHjxYqBwApFLM+u1bNmSsWPHYjKZSnTPCgoKGDFiBJ6ennh5efHGG2/c/ocihBCiXOi2vBsHUw5iZarH9NAnaXef9EO+WywsFB/1/hY0zN74ktFxypUKVySv/u0E077YzYm0i2jgRNpFpn2x+x8Vyvv37yc6OprNmzeTmJiIpaUlK1asoGHDhkyZMoWxY8fy2muv0bJlS8LDwwE4cOAAY8aMYdeuXVStWpX//a/4b28nT55kypQp/PTTTyQmJrJ9+3bz1MmZmZl4enqydetWgoKCmDBhAitXriQhIYFHHnmE6dOnAzBy5EgWLFhAXFzcdbN//PHHREREkJiYyM6dO/H19QVg7ty5xMfHs2vXLjZu3MiuXbvM+zRo0IC4uDg6dOjAiBEjWLlyJVu2bGHmzJnmbbZt28Zrr73G7t27+eOPP/jiiy9KdM8SExM5ceIEe/bsYffu3YwcOfK2PxchhBBl39IdS1n7x1rQFvSss4QnOjc1OlKlM8A3gKZVBpKSncTXB743Ok65UeGK5FfXHuBiXvEuChfzCnh17YHbPuaGDRtISEggICAAX19fNmzYwJEjRwAYNWoUFy5cYPHixcyfP9+8T4MGDWjXrh0AQ4cOJTY2ttgxt2/fTmhoKK6urlhZWTFkyBA2bdoEgKWlJffffz9QWGzv2bOHrl274uvry5w5c0hKSiI9PZ20tDRCQkIAePjhh6+ZPSAggGXLlhEZGcnu3btxcnIC4LPPPqNVq1b4+fmxd+9e9u3bZ96nd+/eAHh5eREUFISTkxOurq7Y2dmRlpYGQGBgII0bN8bS0pLBgwdfdX3Xu2eNGzfmyJEjTJgwgR9++IGqVavexicihBCiPDiTcYZRX48CoImayTtDQqUfskEW9HgRtGLoF8OMjlJuVLiRu0+mXbyl5SWhtWb48OG89NLVX1NkZWWRlJQEQEZGhrkIVar4fwSufH+jmQ7t7OywtLQ0b+fh4XFVa3FaWtpVx7yWjh07smnTJr799lsefvhhJk+eTIcOHZg/fz7bt2+nevXqjBgxguzsbPM+tra2AFhYWJhfX3qfn59f4uu73j3buXMna9eu5e233+azzz5j6dKlN70OIYQQ5U+Pj3ug0djnt+W9oY9Tq6r0QzZKhHsTnK3vIz33EHM2vsiMkOeMjlTmVbiW5HrXGZD8estLonPnzqxcuZIzZ84AkJqayrFjxwCYMmUKQ4YMYfbs2YwePdq8z/Hjx82F7SeffEL79u2LHTMoKIiNGzeSnJxMQUEBn3zyiblV+HLNmzfn7Nmz5mPl5eWxd+9eqlWrhrOzs7kFd8WKFdfMfuzYMWrVqsXo0aN59NFH2bFjB+fPn6dKlSo4Oztz+vRpvv/+1r962bZtG3/++Scmk4no6Oirru969+xS/+3777+f//znP+zYseOWzy2EEKLs++bAN8Sfisfa1ICnWy8mrHktoyNVakopXu/yXmHf5E2zjY5TLlS4luTJEc2Z9sXuYl0u7K0tmRzR/LaP2bJlS+bMmUN4eDgmkwlra2vefvttjh49yvbt29m8eTOWlpasWrWKZcuWERYWhru7Ox988AGPPfYYTZs25fHHHy92zLp16/LSSy8RFhaG1pru3bvTp0+fq85tY2PDypUrmThxIunp6eTn5/Pkk0/i4eHBsmXLeOSRR3BwcCAiIuKa2WNiYnj11VextrbG0dGRDz/8kEaNGuHn54eHhweNGzc2dwu5FcHBwUydOpXdu3ebH+IryT2zt7dn5MiR5gf9rtXSLIQQonzbkrSFftH9sKMB/lXe47nu7kZHEsDIwI6MX1ubi6bTvPTLPKZ1eNboSGWautHX/kbw9/fXV44jvH//ftzdS/4PbPVvJ3h17QFOpl2kXjV7Jkc0p6/fPaUd9bqOHj1Kz5492bNnz107590UExPD/Pnz+eabb4yOUmHd6s+8EEKUFRdzL+L8ijN5pjzq5M7lu8cex+/e6kbHEkXei9vAmLVdsLNy4OKMTKPjGE4plaC19r/WugrXkgzQ1++eu1oUCyGEEKKQ5yJP8kx52BS05NnQAVIglzGj2nRi8voWpBf8zle/f0PvFj2NjlRmVbg+yWWBm5tbhW1FhsJZA6UVWQghxJWeWfsMR9KOoLAj3GUR4zvdZ3QkcQWlFG+GLwNty9yYhUbHKdOkSBZCCCHEP/Z3xt+8saVwgqh789/kzcGtsLaUMqMsGh4YRB2b9mw7vZbP964yOk6ZJT+9QgghhPjH+kf3R6Nxzh3Cf7pH0MTV0ehI4jqUUswJnQ0aHv7y2vMsCCmShRBCCPEPzdk0h7ikOKqautK7yUSGtmlodCRxEyPbBGOrXMgpuMi7298zOk6ZJEWyEEIIIW7bxqMbef7n57FWjtRnIq/c71Wiya6EsSwsFDPaLgINk9dPMTpOmSRF8l0WFRXFyZMnjY5BVFQU48ePv+l2q1evZvbsuzPo+MmTJxkwYMANt2nbti1QOMzexx9/bF4eHx/PxIkTb+u8ubm5dOzY0TyboBBCiJIpMBUQsbxwnP6q2eOZ0cObus63P3mXuLumdOqPhbLjfO45DqUcMjpOmSNF8l1WVorkkpo3bx7jxo27K+eqV68eK1euvOE2v/76K3B1kezv78+CBQtu67w2NjZ07tyZ6Ojo29pfCCEqq9CoUHIKcrDR9xLRuA8PBjQwOpK4BdaWFvRsOAGACd9NMjhN2VMxi+QVK8DNDSwsCv++zpTNJXX06FHc3d0ZPXo0Hh4ehIeHc/HiRQD++OMPunXrRuvWrenQoQO///47AH369OHDDz8E4J133mHIkCGsXLmS+Ph4hgwZgq+vr/kYlyxYsICWLVvi7e3Ngw8+CBRO/9y2bVv8/Pxo27YtBw4cAAqL7b59+9KrVy8aNWrEwoULef311/Hz86NNmzakpqYChcO1Pfnkk7Rt2xZPT0+2bdt21fWdPXuW+++/n4CAAAICAti8eTMABw8exNbWFhcXFwC+/vprgoKC8PPzo0uXLpw+fRqAjIwMRo4ciZeXF97e3qxaVfik7LJly2jWrBkhISGMHj3a3HI9YsSIYsWwo6Oj+T57enoCsHfvXgIDA/H19cXb25tDhw4V23bq1Kn88ssv+Pr68sYbbxATE0PPnoVjPaamptK3b1+8vb1p06YNu3btAiAyMpJHHnmE0NBQGjduXKyo7tu373Wn9hZCCHG1z/Z+RuxfsSgsaFjwX17u7y3dLMqhJQP+g5WpFlv+2o5Jm4yOU7ZorcvUn9atW+sr7du376pl17V8udYODlrD//9xcChcfpv+/PNPbWlpqX/77TettdYDBw7UH330kdZa606dOumDBw9qrbXesmWLDgsL01pr/ffff+smTZroTZs26aZNm+qUlBSttdYhISF6+/bt1zxP3bp1dXZ2ttZa63PnzmmttU5PT9d5eXlaa61//PFH3b9/f6211suWLdNNmjTR58+f12fOnNFVq1bVixYt0lpr/eSTT+o33njDfL5Ro0ZprbXeuHGj9vDwMO//73//W2ut9eDBg/Uvv/yitdb62LFjukWLFlprrZcuXaqffvppc77U1FRtMpm01lq/99575nXPPvusfuKJJ4ptd/LkSd2gQQN95swZnZOTo9u2bWs+3/Dhw/Xnn39u3r5KlSrm+3wp3/jx4/Xyos8sJydHZ2VlFdv2559/1j169DAf4/L348eP15GRkVprrTds2KB9fHy01lrPmjVLBwcH6+zsbH327Fldo0YNnZubq7XWOj8/X7u4uFzzczHCLf3MCyHEXZZfkK+rv1xdE4muOe1ZvTT2iNGRxD/QadFzmkj0jPWRRke564B4fZ2atOLNuDd9OmRlFV+WlVW4fMiQ2z5so0aN8PX1BaB169YcPXqUjIwMfv31VwYOHGjeLicnB4DatWsze/ZswsLC+PLLL6lRo8ZNz+Ht7c2QIUPo27cvffv2BSA9PZ3hw4dz6NAhlFLk5eWZtw8LC8PJyQknJyecnZ3p1asXAF5eXubWU4DBgwcD0LFjR86fP09aWlqx865fv559+/aZ358/f54LFy5w6tQpXF1dzcuTkpIYNGgQp06dIjc3l0aNGpn3//TTT83bVa9endWrVxMaGmref9CgQRw8ePCm9+CS4OBg5s6dS1JSEv3796dp06Yl3jc2Ntbcmt2pUydSUlJIT08HoEePHtja2mJra0utWrU4ffo09evXx9LSEhsbGy5cuICTk1OJzyWEEJXR63Gvcy77HM6EENqgD8OD3YyOJP6BOV0fp+1HLzHv11f4T+dZRscpMyped4vjx29teQnZ2tqaX1taWpKfn4/JZKJatWokJiaa/+zfv9+83e7du6lZs2aJ+yB/++23/Pvf/yYhIYHWrVuTn5/P888/T1hYGHv27OHrr78mOzv7mpksLCzM7y0sLIo9hHbl119XvjeZTMTFxZmv4cSJEzg5OWFvb1/sfBMmTGD8+PHs3r2bd955x7xOa33Nr9iu97WblZUVJpPJvG9ubu5V2zz00EN89dVX2NvbExERwU8//XTtm3YNhb8YXjvLtT7HS3JycrCzsyvxeYQQojJauXclU9ZP4R67IFzyJvPKAG8sLKSbRXkW3KQ+DpZ1yDVd5L14GQ7ukopXJN97760t/weqVq1Ko0aN+Pzzz4HC4mznzp1AYV/i77//nt9++4358+fz559/AuDk5MSFCxeuOpbJZOKvv/4iLCyMefPmkZaWRkZGBunp6dxzzz1AYT/k23HpgbTY2FicnZ1xdnYutj48PJyFC/9/asrExEQA3N3dOXz4sHn55Vk++OCD6+5/7tw5goKCiImJISUlhby8PPM9gsJpuxMSEgBYs2ZNsdbxS44cOULjxo2ZOHEivXv3LtYyDte/j1DYYn6pf3FMTAwuLi5UrVr1ercHgJSUFFxdXbG2tr7hdkIIUZll5mTy4KoH0Wj0uUeY1LWFTBpSQUwLWlA4HNyPU42OUmZUvCJ57lxwcCi+zMGhcPkdsGLFCpYsWYKPjw8eHh6sWbOGnJwcRo8ezdKlS6lXrx6vvfYajzzyCFprRowYwdixY696cK+goIChQ4fi5eWFn58fTz31FNWqVePZZ59l2rRptGvXjoKCgtvKWL16ddq2bcvYsWNZsmTJVesXLFhAfHw83t7etGzZksWLFwOFxeZvv/1mbpmNjIxk4MCBdOjQwfwwH8CMGTM4d+4cnp6e+Pj48PPPP1O3bl0iIyMJDg6mS5cutGrVyrz96NGj2bhxI4GBgWzdupUqVapclSk6OhpPT098fX35/fffGTZsWLH13t7eWFlZ4ePjwxtvvFFsXWRkpPl6pk6dWqygv56ff/6Z7t2733Q7IYSozIKXBlOgC3DEm1b3tGRU+0ZGRxKl5Nmi4eDSc1PZf3b/zXeoBNS1vpo2kr+/v46Pjy+2bP/+/bi7u5f8ICtWFPZBPn68sAV57tx/1B+5PAsNDWX+/Pn4+/vf1v5PPPEEvXr1okuXLv8oR1RUFPHx8cVanMuS/v3789JLL9G8eXOjowC38TMvhBB32Ic7P2T46uFYYMW9Oav4ZnwIHvWcb76jKDfCl0zgx6SFdGn4L34c8Z3Rce4KpVSC1vqaRVLFa0mGwoL46FEwmQr/rqQFcml47rnnyLryQcgKJjc3l759+5aZAlkIIcoarTWjvx4NQI3sqYxu31QK5Aroo4GvYqEdiTuxVYaDo6IWycIsJibmtluRoXCUjt69e//jHCNGjCizrcg2NjZXdecQQgjx/55a+xS5BblUs/ChmXMYT3Yp+YhDovyoXdWOTnWmkJmfyvzNbxodx3BSJAshhBDiurYmbeX9hPepbd8Yp8xIZvfxwMGm4o0gKwrN7DwMtOKFjS8YHcVw5aZILmt9p4W4U+RnXQhRVuTm59L1o65cLLiI/fnp9PBsQGf32kbHEndQ+/sa4GBZl6z883y08yOj4xiqXBTJdnZ2pKSkSPEgKjytNSkpKTJesxCiTOj8YWcu5F6gnm0Hqljew6xeHkZHEneYUoqJrV4sHA5u3TSj4xiqXHxfUr9+fZKSkjh79qzRUYS44+zs7Khfv77RMYQQldyPf/xI7F+xWGCBOjeByb2bU8dZfoGvDJ7vOoSXtz/K6awT5BbkYmNpY3QkQ5SLItna2to8BbIQQggh7iyTNtHn0z4A3MM4/OrXZmibhganEneLg40Vbo5BHM38lRkbZjEv/CWjIxmiXHS3EEIIIcTd88ovr3Ax/yJVretinfMvXuzvhaVMPV2p/K/b+6Dh490rjY5imBIVyUqpbkqpA0qpw0qpq+YrVErZKqWii9ZvVUq5XbbOWykVp5Taq5TarZSS72qEEEKIMiozN5OXN7+MpbLE6fwrjGzrJmMiV0IRLVvgYhnKyYzjJGcmGx3HEDctkpVSlsDbwL+AlsBgpVTLKzZ7FDintb4PeAN4pWhfK2A5MFZr7QGEAnmlll4IIYQQparvp305n3seH4dI7qlalye7NjM6kjCAhYWiV9OBaHL597dPGx3HECVpSQ4EDmutj2itc4FPgT5XbNMH+KDo9Uqgs1JKAeHALq31TgCtdYrWuqB0ogshhBCiNM3eOJv1f66ncVUfUpL9mN6jJY625eLxJXEHzOoyDLQFK/d/YnQUQ5SkSL4H+Ouy90lFy665jdY6H0gHagLNAK2UWquU2qGUevafRxZCCCFEaTt38RyRMZEAWKc/RXDjmvTyrmtsKGGohi6OOFrVxUQ+K3atMDrOXVeSIvlaPfWvHLD4ettYAe2BIUV/91NKdb7qBEqNUUrFK6XiZZg3IYQQ4u5rv7Q9Go1blbbk57oyu48HhV8Ki8psnN9/QMOkdVc9klbhlaRITgIaXPa+PnDyetsU9UN2BlKLlm/UWidrrbOA74BWV55Aa/2u1tpfa+3v6up661chhBBCiNsWvTuafcn7sLKwpiD5WR5t34imtZ2MjiXKgJldHgYs+TszidyCXKPj3FUlKZK3A02VUo2UUjbAg8BXV2zzFTC86PUA4CddOD3eWsBbKeVQVDyHAPtKJ7oQQggh/imtNc/8+AwAnnbPUa+qIxM6NzU4lSgrqthacZ9TCABvxr1lcJq766ZFclEf4/EUFrz7gc+01nuVUrOVUr2LNlsC1FRKHQaeBqYW7XsOeJ3CQjsR2KG1/rb0L0MIIYQQt+OL/V9w4sIJmlcP4lxKADN6usvDeqKYBd0WgbZk1d4fjY5yV6nCBt+yw9/fX8fHxxsdQwghhKjwDqUcwnuxNw2qNsQm5TV86tdk+aNB0hdZFGMyaWrNDSPVFMvJZ5Ko41jH6EilRimVoLX2v9Y6mXFPCCGEqKRCokLIzs+muf2j5OQpXujtKQWyuIqFhSKkYQiaAoZ/McroOHeNFMlCCCFEJfRK7CucyjhFFWsndh9uySPtG3FfLUejY4ky6tVuz4CG9X/+YHSUu0aKZCGEEKKSyczN5LmfngPAz34etZxsmdBJHtYT19e4VlWqWNXDRAGf7fnM6Dh3hRTJQgghRCXzrxX/wqRNNKvWir9ON2BKtxbysJ64qUc9C3+xmrr+eYOT3B1SJAshhBCVyMnzJ9n812asLaxxSI/E795q9PO7ciJdIa42O2IMaMWx80eMjnJXSJEshBBCVBJaa57b8Bxaa7o3eI5zWRZE9vLAwkIe1hM352xvzT32bTDpfHae2ml0nDtOimQhhBCikpi9cTYf7PqAB9yHs/dQIA/418enQTWjY4ly5MmASADe3V7x+yVLkSyEEEJUAqkXU3lh4wtYKksszg/FzsqSyREtjI4lypnRwWFY6Cq8v/NNo6PccVIkCyGEEJVAyLIQNJrWtUP59XA2Ezs3xdXJ1uhYopxxtremhk1Dck1ZrNm/xug4d5QUyUIIIUQFt+7wOvac3YOVhRW26VNo7FqF4W3djI4lyqmB7o8CMGndNIOT3FlSJAshhBAV3ENfPATA/Y2nczw1l5k9W2JjJSWAuD0vRUwArfgj7YDRUe4o+RcihBBCVGBrDqwh5WIK91Z1Y8/BYDq3qEVo81pGxxLlmLODNY5W9dCY+ObgN0bHuWOkSBZCCCEqqLSLaUzfMJ0a9jUIr/VfcvILmNGzpdGxRAUwzONpAF6L/Z/BSe4cKZKFEEKICqp/dH/2nt3LU/7/Yf0eS4YHu9HIpYrRsUQFMDdiPBbaiX1nDxkd5Y6RIlkIIYSogNb/sZ6fj/2Ms60zuw76Us3emgmdmxodS1QQ1RxsaOHUhzPZh9lxcofRce4IKZKFEEKICkZrTb/ofgA80OxJth09x9PhzXG2tzY4mahIerboBMC4b58xOMmdIUWyEEIIUcE8s+4ZMvIycHVw5ffDITSv7cTggAZGxxIVzLSwIaBh28lNRke5I6RIFkIIISqQAlMBb29/G4Ax7ss4nprFjJ7uWFnK//JF6armYIODZR00JjYc2WB0nFIn/2KEEEKICmTuL3PJLcjlX016sXq7FV3ca9GhqavRsUQFNbD5WAAmfFfxulxIkSyEEEJUEImnEnlzy5v41valpe0MsvMKeK67u9GxRAX2evcpoOFg6n6jo5Q6KZKFEEKICkBrTa9Pe3Eu+xyT27zKqh1nGd7WjcaujkZHExVYDUc7XG18KNC5HDhbsWbgkyJZCCGEqABein2JpPNJuFVz4+ttjlSzt2ZiJxnyTdx5j/lNAeDTXWsNTlK6pEgWQgghyrmLeReZ+fNMACb4vEHckRSe6toMZwcZ8k3ceU+074fSNryx7UWjo5QqKZKFEEKIcq7vp30p0AX41Pbh6/hq3FfLkYcC7zU6lqgkXJzssLOsTnruac5mnDU6TqmRIlkIIYQoxzJzM9nw5wYUikdbLOPP5Eymd5ch38Td1aJmawCe/OFZg5OUHvkXJIQQQpRjz6x7hgJdwITAp3l/41k6NHUhtLkM+Sburvld54GGrw9+ZXSUUiNFshBCCFFOfbHvC5b+tpQ+zftQI38EF7LzmN7DHaWU0dFEJRN2X0uUsuJCXioFBQVGxykVUiQLIYQQ5VC+KZ9hq4eRZ8rjqYA5LN9ynEEBDWhRp6rR0UQlpJSivoMXAF8d+NbgNKVDimQhhBCiHBq5ZiSZeZn41Pbh41+zsbG04KmuzYyOJSqxycGzAVie+I3BSUqHFMlCCCFEOXM64zTLdy0H4PngJazde5rHQ5tQy8nO4GSiMhsd9C9sdANi/9podJRSIUWyEEIIUc50/rAzAD2b9mTZpizqOdsxqkNjg1OJys7O2pJqds6cyT7IweSDRsf5x6RIFkIIIcqRUxdOse/sPqwsrBhy3xvsOXGeZ7u1wM7a0uhoQtC2figAo7+eYGyQUiBFshBCCFGOPL32aTSaVzq/xpvrj+FT35nePvWMjiUEAK91mwUatiZtNjrKPyZFshBCCFFOvLX1LaL3RvNYq8ewyurG3+ezmdGzJRYWMuSbKBsau7hgqezIMWWSk59jdJx/RIpkIYQQohzIys3imXXPoFBMDJjO4k1H6OZRhwC3GkZHE6KYJs6tAJi+YbbBSf4ZKZKFEEKIcqDfZ/3IM+UReE8gH/2aRm6+ian/amF0LCGu8mJY4ex73x5Yb3SUf0SKZCGEEKKMO3D2AOv+WIdC8Vqnj4nefpyHgxvi5lLF6GhCXKW/d9v/Y++uo6O6vjaOf2/cAxECBA0ESPAILsWdIm2huBUrtECLt4UKWi/Fobi7Q5HilkCCB0KCBokR95n7/gG/vKVQioTcSbI/a2V1MvfOzHNTGHbOnLMP5oorDxLCtY7yRqRIFkIIIQxck+VNAOhVpRdzD0ZgY27CJw3dNU4lxPMpikJFxwbEpN/kxG0/reO8NimShRBCCAMWHBXMnbg7WJhY0K3sJA5di2BoQ3fyW5tpHU2If9WizDsAfLprlLZB3oAUyUIIIYQB+99ivXmt5zN9dzDFHKzoUau41rGEeKFRdbuDCmcfHtc6ymuTIlkIIYQwUOP3j2fbtW2MrjUa87T6BD2IZ3TzcpibyMYhwrDZWJphZmyHTk3jfvx9reO8FimShRBCCAMUnRzN1GNTMTUyZVj10fzw51W8iuWjZcWCWkcT4qXULtwagMVnNmmc5PVIkSyEEEIYoJbLW6JX9dQuVpuVp8IJj09lfCtPFEU2DhE5w4J2M6hm/xW1i7TUOsprMdE6gBBCCCGe5hfmx6l7pzBSjJjfcg1tfjtLq4qF8C6eX+toQrw0N0cHTg37WusYr01GkoUQQggD02ZlGwA+rf4p8w89IEOvZ3Rz2ThEiOwkRbIQQghhQM49OMfDpIfYUnDmdgAAIABJREFUmtnSt+JXrD1zh541S1DM0UrraELkKTLdQmS7DJ2emOR0YpLS0OnBycaM/FZmGBnJPDshRN6mqiqj943GWDFmeYflTN11FTsLU4bKxiFCZDspksVb8zAuhRMhURwPiSQ4PIGYpHSiE9OITU5/5lxjIwUnGzOcbMxxtjWnmIMV1Us6Ut3NAScbcw3SCyFE9vt458fsCdnD1/W/xl6pyZHg03zZ2hN7K1OtowmR50iRLLJMfEo6x65HcjwkimPXIwmJSATA3tKUCq52FMlvhYOVKfmtH48c57c2w1hRiExIJSL+ydeT2343oll64hYA7gVsqOHmSA03R2qWcsRBdpkSQuRC9+PvM8d/DubG5oyo+TkdZ/lT3NGK7jVk4xAhtCBFsnhjYTHJLDp6g9V+d0hIzcDKzJhqJR3o5FuUWqWc8Chkh/ErTqVI1+m5GBbLydBoToZGsfHsXZadvIWJkUJjDxc6VytKXXfnV35eIYQwVE2XN0VFpUHJBuw4H8nVh/HM6uqFmYksHxJCC4qqqlpneIqPj4/q7++vdQzxEi6GxTL/SCjbzz/eSadVxUJ0rV6MqsXyZ/mbeoZOz4WwWHZdfMD6M3eJTkzDNZ8lnXyL8r5PEQrZW2bp6wkhRHY6EHqARssaYawYc294FK1+86OYgxXrB9aUvshCvEWKopxRVdXnucekSBav6mRoFL/tD+Z4SBQ25iZ09i1K7zolcc2XPYVqaoaOvZcfsvr0HY5ej8RIgcYeLgxvUgaPQnbZkkEIIbKS43RHopOjmVB/AvbpXfh1fzAbB9fCq5j0RRbibXpRkSzTLcRLi09JZ8quIFaeuk1BOwvGtSxH52rFsLPI3gUl5ibGtK5UmNaVCnM7KonVfrdZfvIWLX87QtvKhRnRpAzFHa2zNZMQQryuU3dPEZ0cjYOFAwOrjqbBD4doVamQFMhCaEyKZPFSDl4NZ+zGCzyMS6F/PTeGNy6DpZmx1rEo5mjFqOblGFCvFHMOh7Do2A12nL9P52pF+aShOwXsLLSOKIQQ/ypdl86YfWMwNzZnzftr+Hlv8OONQ5rJxiFCaE2KZPFCsUnpfLvjMuvP3MW9gA2zBtWiqgGObthbmTK6eTl61yrBbweCWX36DuvP3KVvnZIMaeBuEAW9EEL8U+8tvTl46yDTG0/H1bIaa88coW/tkrJxiBAGQOYki3/119VwRq0/T3RiGoPfKcWQhqUxN8kZxeatqER+/PMaW8/do4SjFVM6VKJmKUetYwkhRKbQR6GU+q0UliaWxIyOoe+SAM7fjeXwyAbSF1mIbPKiOcnSV0Y815LjN+mz2A9HazO2fFybz5qWzTEFMkBxR2t++7AqK/tVR6/Ch/NPMm7TBeJSnt3IRAghtNB0WVMAWpdpzbGQGI4ER/JJI3cpkIUwEFIki6fo9Srfbb/MhK2XaOzhwqbBtangaq91rNdWq7QTe4bVo1+dkqw+fZumPx3mQNBDrWMJIfK4LVe2EPIoBBMjExa1XcLkHVcoIRuHCGFQpEgWmVLSdXy88iwLjt6gV60SzOnmnSvm8lqaGfNFa082DKqFnaUJfRb7M2x1APEyqiyE0EifrX0AmNZ4GlsCIwgOT2BMi3KycYgQBkT+NgoAohPT6DL/JLsvPeCLVh5MaOOZ63azq1osP9uH1uXTRu5sO3+fNjOOcvlenNaxhBB5zMGbB4lOiaagdUE+qjqUn/ZexbdEfpqVL6h1NCHE37xUkawoSnNFUa4qinJdUZQxzzlurijKmifHTymKUuIfx4spipKgKMrnWRNbZKWbkYl0mHWMi/fimNnFi3513XLtDk9mJkYMb1KGVR/VIDldR/tZx1jjdxtDW8AqhMidElITGLd/HDamNmzotIG5h0KJTEhjfCvPXPu+K0RO9Z9FsqIoxsBMoAXgCXyoKIrnP07rCzxSVbU08DMw7R/HfwZ2vXlckdXCYpLpPO8kscnprPqoOi0rFtI6UraoVtKBHZ/UxbeEA6M3XOCzdedISsvQOpYQIpfrsrELJ+6eYErjKZS0q8r8I6G0rVyYKkXzaR1NiGyzOSCM2lMPUHLMDmpPPcDmgDCtIz3Xy4wkVwOuq6oaqqpqGrAaePcf57wLLHlyez3QSHnyK7GiKO2AUOBS1kQWWSU6MY3uC0+RlJbBqv418C7uoHWkbOVkY86SPtUY1tidTQFhvPv7Ma6Hx2sdSwiRS517cI5t17ZhbWrNIJ9BfL/nKiowsllZraMJkW02B4QxduMFwmKSUXk8WDd24wWDLJRfpkh2Be787fu7T+577jmqqmYAsYCjoijWwGjg6xe9gKIo/RVF8VcUxT8iIuJls4s3kJSWQe/FfoQ9SmZBT1/KFbTTOpImjI0UhjUuw7I+1YlOTKPt78fYf0W6Xwghsl7LFS0B6Fy+M1fuJ7DxbBi9a5egqINsHCLyju/3XCU5XffUfcnpOr7fc1WjRP/uZYrk502S+ucEzn8752vgZ1VVE170AqqqzlNV1UdVVR9nZ+eXiCTeRLpOz6DlZ7lwN4bfu3hRrWTeGkF+njruTuz4pC6lnG34aKk/i47d0DqSECIXWXh2IfcS7mFubM6sVrP4bsdlHKzN+LhBaa2jCZGt7sUkv9L9WnqZIvkuUPRv3xcB7v3bOYqimAD2QDRQHZiuKMpNYBgwTlGUIW+YWbwBvV5l1PrzHLoWwZQOFWni6aJ1JINR0N6CNQNq0NjDha+3XWbClotk6PRaxxJC5AIj944EYFbLWRy69oiTodEMa+yOnYVsHCLylsL5LF/pfi29TJHsB7grilJSURQzoDOw9R/nbAV6Prn9HnBAfayuqqolVFUtAfwCTFZV9fcsyi5ekaqqTN55hU0BYYxsVpZOvsW0jmRwrMxMmN3Nm4/qlmTJiVt8tNSfhFRZ0CeEeH3brm7jUcoj3PK70a1SLybvvEIpZ2s+rCbvwSLvGdmsLJamT+/BYGlqbJBz8/+zSH4yx3gIsAe4AqxVVfWSoijfKIrS9slpC3k8B/k6MAJ4pk2c0N6CIzcyNwoZ/E4preMYLGMjhfGtPJnUvgKHgyN5f84Jg/wYSAhh+MITwhmzbwxOlk5s7rSZFaducSMykfGtPDA1lq0KRN7TrqorUzpUxDWfJQrgms+SKR0q0q7qP5e7aU8xtP6wPj4+qr+/v9Yxcp2ToVF0mX+S5hUK8vuHXhjlso1C3pbD1yL4eMVZLM2MWda3OmUL2modSQiRg9T9oy5H7xxlUdtFtCvbhfrfH6Siqz3L+laTvshCGABFUc6oqurzvGPya2weEJmQyierAijhaM309ypLgfwK6pVxZv2gWigKdJp3gsA7MVpHEkLkEIduHuLonaPYmdvRs0pPZhy4TlxKOuNbeUiBLEQOIEVyLqfXqwxfE0hMcjq/d/HCxtxE60g5TtmCtqwfWAs7C1O6zj/J8ZBIrSMJIQycqqq0W90OgAHeA7gZlcTSEzfp5FMUj0J5s+WmEDmNFMm53OxDIRwJjmRCG088C8sb8+sq6mDFuoE1cc1vSa9Ffuy7LL2UhRD/btKRScSkxmBjZsPUxlOZuusKpsZGjGhaRutoQoiXJEVyLuZ3M5qf9l6jdaVCdJFV1G/Mxc6CNf1rUq6gLQOXn2FLoOHtDiSE0J6qqnx//HsAVnVYxekbj9hz6SGD3ylFAVsLjdMJIV6WFMm5VHRiGkNXBlA0/+NVozL/LWvktzZjRb/qeBfPz7A1gSw/eUvrSEIIA7PiwgriUuPwLuRNS/dWfLfjMoXtLehX103raEKIVyBFci6k16t8tjaQ6MQ0fu/iha00q89SthamLOlTjQZlC/DF5ossPXFT60hCCANxNfIqY/aNoVT+UmzqtIlNAWFcDItjdItyWPyjN6wQwrBJkZwLLTgayl9XI/iitQcVXO21jpMrWZgaM6ebN008XfhqyyUZURZCANB2VVvC4sP4pdkvOFoW4vs9V6lcNB9tKhXWOpoQ4hVJkZzLhEQk8MOeazQr70L3GsW1jpOrmZkYMbOLF409Ho8orzx1W+tIQggNLQpYxLXoazhZOdG6bGvmHgrlQVwKX7bykNabQuRAUiTnIqqqMn7TBSxMjfiuncxDzg5mJkbM7OpFw3IFGLfpAqtPS6EsRF6Upktj0I5BAHzzzjfci0lm7uEQWlcqhE8JB43TCSFehxTJuci6M3c5GRrN2JYeONuaax0nzzA3MWZWVy/ql3Fm7KYLrPW/o3UkIUQ2G7htIKm6VAraFGSgz0Cm7Q5CVWFMi3JaRxNCvCYpknOJqIRUJu+8gm+J/HTyKap1nDzHwtSYud29qVPaidEbzrP+zF2tIwkhsolOr2P1pdUA7Oyyk7O3Y9gSeI/+9dwokt9K43RCiNclRXIu8d2OKySmZjClQ0WZ+6YRC1Nj5vfwoXYpJ0auP8f28/e0jiSEyAY/n/iZ5IxkWrm3orJLFb7dfpkCtuYMrF9K62hCiDcgRXIucCQ4gk0BYQyqX4rSBWy1jpOn/a9Q9imen+FrAjl4NVzrSEKIt2hvyF6+Pvw1tYrUYnn75Ww5F0bgnRhGNS+HtbmJ1vGEEG9AiuQcLjlNx/hNF3FzsmZwg9JaxxGApZkxC3r64l7g8c58/jejtY4khHgLdHodndZ1IiEtgRktZmBmbMO0XVepVMSeDlVdtY4nhHhDUiTncL8dCOZ2dBLfta8gjeoNiL2lKUv7VqOwvSW9F/tx+V6c1pGEEFns8z8/51HqI4rbF8ersFdmy7evWnvKtDchcgEpknOwoAdxzD8cynveRahVyknrOOIfnGzMWdavOjbmJvT44xQ3IhO1jiSEyCIRiRH8eupXABa/u1havgmRC0mRnEM97ol8ETtLU8a39NA6jvgXrvksWda3OnoVui04xf3YZK0jCSGyQKuVrVBR8Snswzsl32Ha7iD00vJNiFxFiuQcas+lB5y59YiRzcqS39pM6zjiBUoXsGFpn2rEJqfTfeFpHiWmaR1JCPEGYpJjOHv/LAoKO7rs4MytR49bvtWVlm9C5CZSJOdAGTo903dfpXQBG973LqJ1HPESKrjas7CnD7ejk+i7xI+UdJ3WkYQQr2nU3lHoVB2jao/CydKZiVsv4WJnzqB3pOWbELmJFMk50Br/O4RGJjKqWVlMjOV/YU5R3c2R3zpXIeBODENXBZCh02sdSQjxin44/gMLAhbQq3IvJjWcxLozd7gQFsvYFh7S8k2IXEYqrBwmKS2DX/YF41M8P008XbSOI15R8wqFmNimPHsvP+SrrZdQVVXrSEKIl/Qo+RFj9o1BQWFak2kkpun5fs9VvIvn590qhbWOJ4TIYvJrbw6z8MgNIuJTmdPNC0WRFkM5Uc9aJXgQl8LsgyEUtrdgSEN3rSMJIV7Cu6vfRafq8CnkQwHrAny3/TJRiWks6lVN3o+FyIWkSM5BohJSmXs4lKaeLngXlxZDOdmoZmV5GJvCD39ew8XOgvd9imodSQjxAkdvHeXI7SMoKGzqtInr4fEsPn6TTj5FqVjEXut4Qoi3QIrkHGTGgeskpWUwqnlZraOIN6QoClM7ViIiIZUxGy/gZGtOg7IFtI4lhHgOVVVpu7otAAO8B+Bq50rPRX5YmhnzeTN5PxYit5I5yTnE7agkVpy6xQc+RSldwFbrOCILmJkYMbubN+UK2jJ4+Vku3I3VOpIQ4jn87vnxKOURNqY2zGg5g/1Xwjl8LYJPG7njZGOudTwhxFsiRXIO8ePeqxgbKQxrXEbrKCIL2ZibsKi3Lw7WZvRZ4kdYjGw2IoQh0ev1DN01FBMjE1a+txKdXuHbHZcpXcCGnrVKaB1PCPEWSZGcA1wMi2VL4D361C5JQXsLreOILFbA1oJFvX1JSdPRZ5Ef8SnpWkcSQjzRYkULToedZkbzGbQp04aFR29wKyqJr1p7YiotOIXI1eRveA4wbXcQ+axMGSiN6nOtMi62zO7mTUhEAoNXnCVdeigLobm/Qv/iz9A/cbJyor9Pfx7GpfD7ges09nChXhlnreMJId4yKZINXOCdGI4ERzKofinsLEy1jiPeojruTkxqX4EjwZF8teWi9FAWQkM6vY72a9sD0LViV4wUIybtuEKGXuXL1h4apxNCZAfpbmHgZh+8jp2FCV1rFNc6isgGnXyLcSsqiVkHQyjmYC3b3AqhkbH7xhKbGoutmS0/Nv2REyFRbD13j08auVPc0VrreEKIbCBFsgG7Hh7PnksPGdqwNDay3Wme8XnTstyOTmLa7iCKOVjRqlIhrSMJkaekZKTw44kfAVj73lr0qsJXWy5SJL8lg+UXVyHyDJluYcBmHwzFwtSIXrKCOk8xMlL44f3KeBfPz/C1gZy9/UjrSELkKT8c+wE9erwLedPcvTlLjt8kODyBr1p7YmFqrHU8IUQ2kSLZQIXFJLMlMIzOvsVwlD6ceY6FqTHze/hQ0M6C/kv9ufsoSetIQuQJoY9C+enkT7hYu7Cjyw7C41L4ZV8wDco608TTRet4QohsJEWygZp/OBSAj+q5aZxEaMXB2ow/evmQmqGn72J/ElIztI4kRK6WpkvDe543MSkx7OuxDxcbFybvvEJahp4JbcqjKIrWEYUQ2UiKZAMUlZDKar/bvFvFFdd8llrHERoqXcCWWV29uB6RwCerAtDppeOFEG9Lv639iEmJoalbUyoUqMDJ0Cg2B95jQH03SjjJYj0h8hopkg3Q4uM3Sc3QM+gdGUUWUNfdma/bludAUDiTd17ROo4QuVJQZBDLzi8D4NuG35Ku0zNhyyVc81ky+J3SGqcTQmhBWiYYmPiUdJYcv0lTTxdKF7DVOo4wEN1qFCckIoGFR2/g5mxN1+rSElCIrKKqKk2WNQGgZemW+Lr6svDoDa4+jGdud28szWSxnhB5kRTJBmbV6dvEpWTIyIV4xhetPLkZmchXWy5R3MGaOu5OWkcSIlc4ePMgd+PuYmpkytr31z5erLf3GvXLONNUFusJkWfJdAsDkpqhY8GRG9Qu7Ujlovm0jiMMjLGRwm8fVqW0sw2DVpwhJCJB60hC5HiqqjJk1xAAZrWahbWZNd/uuEKqTs/EtrJYT4i8TEaSDciGM2GEx6fy0wdVtI7yr/SqnmtR17gefZ2opCgikyKJTIpkZO2ROFg6sP3adlZeWImduR125nbYm9tjZ25H76q9sTGz0Tp+jmdrYcqCnj60m3mMfkv82TS4FvmszLSOJUSONenIJC5HXKZLhS708+rH4WsRbDt3j+GNy1BSFusJkadJkWwg9HqVeYdDqFTEntqlHbWOk+lR8iNOhZ3Cp7APTlZOzPWfy+Cdg586x8TIhG6VuuFg6cDDhIf43fMjLjWOuNQ4UjJSAOhcoTM2ZjZMPjKZdZfXUbFARSoWqIhPYR9qF6uNmbEUei+rqIMVc7t702X+KT5eeZbFvathaiwfCgnxqg7eOMiXf31JIZtCLGm/hJR0HV9uuYibkzUDZeG0EHmeFMkG4lBwBDejkvi1cxXNP96LTIpk1YVVLD2/FP97/gCs6riKzhU607x0c/5o+weezp44WzvjZOWErZltZua+Xn3p69U387nSdGnEp8aT3zI/AEXtilLQpiAHbhzIXElewLoAYSPCMDEyISk9CStTq2y+4pzHp4QDkztU5PN15/hm22W+bVdB60hC5CjpunTarm4LwPTG0zExMuG3fVe5FZXEyn7VMTeRxXpC5HVSJBuI5Sdu4WRjTosKhTTNcT/+PsV/KU66Pp0qBavwbYNvqVW0FtVcqwFQMn9JSuYv+dLPZ2ZshqPV/4+Md6/cne6VuwMQnRzNsdvHuBlzExOjx38U6y2qR6oulbZl2tKrSi/cHd2z8Opyl/e8ixD8MJ65h0Mp42JD95oltI4kRI4xeMdg4tPisTWzpXPFzlwPT2D2oRDaV3WlVmlZFCuEkCLZINyJTuLA1XCGNCiNmUn2fmwenRzN98e+Jy41jpmtZlLIthDTGk+jkVsjKrlUequv7WDpQJuybTK/V1WVLhW7sP3adqYem8rko5OpV7we4+qMo1npZm81S041qnk5rocnMHHbZUo62UjHCyFeQlBkEAsCFgCw7cNtGCvGfLn5Ipamxoxr6aFxOiGEoZCJjAZg+albGCkKXaoXy7bXTEpPYurRqZT6rRTTjk0jJjUGVX28m9vwmsPfeoH8PIqiMKLmCA70PMCd4XeY3HAy9+LvERYfBjyeHx1wPyDbcxkyYyOFXzpXoZSzNYNXnCFUOl4I8Z/G7RsHQFO3ptQvUZ9NAWGcCI1idItyONuaa5xOCGEopEjWWEq6jrV+d2ji4UIh++zZgvrwrcO4z3Bn7P6x1ClWh8CBgazosELzudB/V9i2MGPrjuXakGv0qNwDgKXnluI1z4tmy5tx+NbhzKI+r7O1MGVhT19MjI3ot8Sf2KR0rSMJYbCuRV1jy7UtWJlasaHTBmKS0pi04wpVi+XjQ9/sG6gQQhg+mW6hsR3n7/MoKZ3uNd/+DmopGSlYmFhQKn8pyjmVY3XH1dQtXvelHquqKrdibxH4IJDAB4Hcib1DXFpcZheLuNQ44lPjgcfTKP755WrrSuWClankUol8Fi/fA1pRFEyUx39Me1bpSUpGCj+d/In6i+tTu2htxtcdT/PSzQ2qwNdCUQcr5nTzpuuCkwxZdZZFvR4XzUKI/xeRGEGTZU2wNrFmf8/92JjZMHb7eWKS01nWriJGRnn7fUQI8TTF0EbjfHx8VH9/f61jZJt3Zx4jISWdfSPqv7VCLyEtgWG7h3E9+jr7e+zH2Oi/V20npSexK3gXR24fySyMY1NjAVBQKGRbKLMH8t+/VFSik6Of+opKiiJd//+jm8Xti1OlYBUqu1Smmms13inxDtZmL9+PNDk9mYUBC5l+bDqlHUpzoOeBV/+h5FJr/G4zesMFetUqwcS25bWOI4RB8ZrrRcCDACbWn8iEdybgfzOa9+ac4KO6JRnfylPreEIIDSiKckZVVZ/nHZORZA2dvxvDuTsxTGzj+dYK5NNhp+m6sSsh0SGMqTMGvarHmOcXyYlpiewI3sG6y+vYGbwzsx1bZZfKdKnYhcoulalSsAoVClR4paJWVVXuJ9zn3INzBD4I5NzDc5x7eI5t17ahV/WYG5vzTol3aOnekpbuLSnt8OItuS1NLRlSbQj9vfsTmRQJQFhcGD039+TbBt9Ss2jNl/8B5TKdfItx7WECC4/eoIyLbbbOcxfCkK2+sJqABwGYGJkwru44UjN0jN5wHtd8lgxrXEbreEIIAyRFsoaWnriFlZkxHbyLZPlz6/Q6ph6dyoSDEyhsW5i/ev5F/RL1nzlPr+rZfm07S88tZWfwTpIzknGxdqFX5V68X/596har+1Ijzy+iKAqFbQtT2LYwLdxbZN6flJ7E8TvH2Rm8k53BO/l096d8uvtT3B3caVu2Lb2r9KZ8gX8fDTUzNqOwbWEAQh6FcCniErX+qMUH5T9gaqOpr9SqLjcZ19KD6+EJfLXlIm7O1tRwM5zNaYTQQlJ6Ej039wTgy3pfYmpsyk9/XiUkIpElfaphbS7/FAohniXTLTTyKDGNGlP209G7CJPbV8zy549PjafynMpUL1Kd2a1mPzMPWKfXse7yOiYdmcTF8IsUtClIR4+OvO/5PnWK1Xnjwvh1hESHsOv6LnYE72B/6H7S9elUc61Gnyp96FyhM/YW9i98fEJaAtOPTeeH4z+gU3UMqz6MqY2n5sn5ynEp6bSfeYzoxDS2fFyHYo6yQYvIu1oub8mukF0UsilE2Igwrj6Mp/VvR2lbuTA/daqidTwhhIZeNN1CimSNzDscwuSdQeweVpdyBe2y7HnPPzxPOadymBmbEZkUiaOl41NFYrounRUXVjDl6BSuRV3Dw8mD8XXH06lCp8wNPQxBRGIEKy6sYGHAQi6GX8TSxJKOnh35yOsj6har+8LC927cXb448AXGijEL312YjakNy83IRN6deYwCtuZsHFwLWwtTrSMJke0eJT+i4I8FSdOlcWnwJco6etBx9nFuRyexb0R9HKzNtI4ohNDQi4pkWf6uAb1eZfnJ21Qr4ZClBfLWq1upsaAGXx74EgAnK6fMYlJVVRYHLqbM72XovaU3VqZWrH9/PRcHX6Rrpa6vXSCrqkqaLo241DjCE8NJSk/KkmtxtnZmWI1hnB94ntP9TtOzck+2Xt1K/cX1qbmwJpuDNqNX9c99bBG7Iixut5j5becDcPb+WVqsaEFIdEiWZMspSjhZM7urFzciE/l0dSA6vWH9QizE26ZX9YzYM4I0XRrDawzH09mTJcdvEngnhgltPKVAFkK8kBTJGjh0LYLb0Ul0y8K2b/POzKP9mvaUL1Cez2p99tSxkOgQGi9rTO8tvSlgXYDtH27nbP+zdPTsiJHy4j8C0cnRnLhzgkUBixizbwxHbx8FIOB+AJaTLDH6xgjz78yxn2qPyw8urLu0DnhcmHrN9aL58ub02NSDLw98yYbLG4hOjn6l61IUBV9XX2a3ns39z+4zq+UswhPDH1/rrPIsDlxMmi7tuY/937WFPgrl2O1jVJhdgalHp5Kuyzt9hGuVdmJi2/IcCApn2u4greMIka26bezG4nOL+bzm5/zY9EfuRCfx/Z6rNCjrTNvKhbWOJ4QwcIbz+XoesvTETZxszGlevuAbP5eqqkw8OJFvDn9Di9ItWPv+WmzMbIDH845/PfUrXxz4AlNjU+a2nks/r37/WRgD3Iu/R91FdQl9FJp5n5mxGUXtilKnWB1cbFwYWm0oFiYWWJhYYG5sjoWJBfWK1wMeF6iudq6EJ4YTFBnE3bi76FQd+7rvo5FbI07cOcH6y+upUaQGTUo1eaneyVamVgzyHcRH3h+x7tI6ph6bSu8tvfnyry8ZWWskA7wHYG7y7G5Z73m+R80iNflk9yeM3T+WlRdWMq/NPGqLESbUAAAgAElEQVQUqfGyP+YcrVuN4lx7GM+8w6G4F7DhfZ+iWkcS4q07dvsYqy6uwtrUmm8afAPA+M0XMVLgu/YV8+RaBSHEq5E5ydnsfmwytaYe4ON3SvN5s7Jv/Hy3Ym5RcXZF3vN8j7mt52Jq/Hje6cXwi/Td2pfTYadpXaY1s1vNpojd87to3Iu/x+agzewM3klph9L80vwXVFWl+6buVHapjIezB+WcylEiX4nXnpaRnJ7MxfCLeDp7Ym1mzYKzCxi6aygpGSkYK8bUKlqLVu6tGFJtyEu3l1NVld3XdzPl6BSO3D5CiXwlmNRwEp0rdP7XXwS2BG3h450f08+rHxPfmfha15ITZej09Frkx6kbUaz8qAa+JRy0jiTEW5OuS8dxuiPxafH0rtKbP979g41n7zJi7Tm+bluenrVKaB1RCGEgZOGeAZl18DrTd1/l4OfvUMLp5XsN/5OqqpkjIdejr1MqfykURUGv6plyZApfH/oaewt7ZrSYQafynZ47anLq7il+Pvkz6y+vR6fqcMvvRq/Kvfiy/pevnetVZOgzOB12mh3XdrDz+k5uxtwkYmQEJkYm7ArehbO1M96FvF9qxGdvyF5G7RtF4INAvAp5Mb3xdBq5NXruuXGpcViaWGJqbMrhW4dxsHSgQoEKWX15Bic2KZ32s44Rk5zOlo9rU9RBOl6I3Knbxm6suLACe3N7IkdFEpOko/FPh3BzsmbdwFoYy856QognpEg2EKqq0vinQ+S3MmP9oFqv/Tx6VU+vzb2oUKACo2qPyrw/IS2Bnpt7svHKRjqV78TvLX/Hycrpqcem69IxMTJBURQGbh/I6our6efVj35e/SjrWFbTjyBjU2Iz27x5zvTkSuQVKhSoQJ8qfehWqRvO1s4vfLxe1bPywkq+OPAFt2Jv0bx0c6Y1nkYll0rPPV9VVbzneXMp4hKTGk5ieI3hmrS+y06hEQm0m3mMQvaWbBhcCxvpDytymaikKJy/d0ZF5WTfk1RzrcbgFWfZfyWcHZ/Uwd3FVuuIQggDIt0tDMS5u7GERCTS8Q02D1FVlRF7RrDs/LKnFqDdjLlJ7T9qszloMz83+5lVHVc9VSCnZqTyw/EfKP5LcU7cPQHAtw2+5e6Iu/zQ9AfKOZXTfI7e3/sgH+97nNmtZmNlasWIP0dQ+KfCTD82/YWPN1KM6FapG0FDgvihyQ+cunuKqnOr8smuT4hNiX3mfEVR2NNtD63cWzFy70gaLm3IzZibWX1ZBsXN2YZZXb25HpHAp6sCpOOFyHUGbBuAikrn8p2pXqQ6287fZ9fFBwxr4i4FshDilbxUkawoSnNFUa4qinJdUZQxzzlurijKmifHTymKUuLJ/U0URTmjKMqFJ/9tmLXxc5b1Z+5gbmJEq0qFXvs5Jh+ZzK+nfuXT6p8yru44AI7cOoLvfF9uxdxiZ5edDKsx7KmCd2fwTirOrsjIvSMpX6A85saPF7c5WztnLvIzNPks8jHQZyCn+p3i4qCLDKs+jKoFqwJwJ/YOfwT8QWpG6nMfa2FiwWe1PiPkkxAG+Qzi99O/U25mOVZdWMU/PzlxtnZmwwcbWPzuYgLuB1BpdiWuRV1769enpTruTkxo48n+oHCmS8cLkYssDFjIhqAN1HCtwZL2SwiPT+GrLRepUjQf/eu6aR1PCJHTqKr6wi/AGAgB3AAz4Bzg+Y9zBgNzntzuDKx5crsqUPjJ7QpA2H+9nre3t5obpaRnqJUm7lGHrjz72s8x22+2ykTUbhu7qTq9TlVVVZ3nP081+cZELTujrHo18uozj+myoYvKRNSyM8qqu4J3vfZrG5JpR6epTEQt9EMhddrRaWpMcswLz/cL81N95vmoTERttKSRGhQR9Nzzbjy6oX6x/wtVr9e/jdgGZ/ym82rx0dvVtX63tY4ixBs7ffe0ykRUuyl2amxKrKrX69V+S/xU9/E71eCH8VrHE0IYKMBf/Zea9GVGkqsB11VVDVVVNQ1YDbz7j3PeBZY8ub0eaKQoiqKqaoCqqvee3H8JsFAU5dkeXXnA/ivhxCanv9FUCwWFtmXb8kfbP1BQGL57OP2396exW2NO9jtJGccyACSmJWaOmNYpWofvm3zP+UHnaV66eZZci9ZG1hrJn93+pHyB8ozeN5qiPxdl7L6xz4wS/49PYR9O9j3JrJaz8L/nT8XZFfnywJfPjESXyFeCbxt+i6IohD4Kpd6iegRF5t6R1gltylO7tCPjNl3gVGiU1nGEeG1pujQaL20MwNRGU7Ezt2NzYBh7Lz9kZNOylC5gmJ+YCSEM28sUya7Anb99f/fJfc89R1XVDCAWcPzHOR2BAFVVn/8ZeS634cxdXOzMqVPa6b9P/of/7WI3wGcAmzttxsTIhI93fswvp37h0+qfsv3D7Zl9hk+HnabC7AqsvLASgEG+g/i81ueYGeeenaUURaFJqSbs7b6Xs/3P0qpMKx4mPsycYvK8zUWMjYwZ5DuIq0Ou0qlCJ7478h1e87zwC/N77muExYVxJfIK3vO8WXpu6Vu9Hq2YGhsxq4s3RR2sGLD8DDcjE7WOJMRr6bqxK3FpcdiZ29HXqy8P41KYsOUS3sXz06dOSa3jCSFyqJcpkp+3muufQ3YvPEdRlPLANGDAc19AUforiuKvKIp/RETES0TKWSLiUzl4LYL2VYu8cuuh4KhgSv9WmoM3D2beN2TnEGb7z2ZUrVH83OxnjI2MUVWVX07+Qp0/6qCqKm7588b8u6qFqrKq4yoWtF0APN4JsNjPxZhxasZz5yy72LiwrP0ydnTZQWxKLDUX1mT8/vHPnFu3eF3ODTyHb2Ffem7uSe8tvbNsy21DYm9lyh89fQHou8SP2OS8sxuhyB0OhB5g/eX1AOzrvg9TI1PGbDhPmk7P9+9VknZvQojX9jJF8l3g71t0FQHu/ds5iqKYAPZA9JPviwCbgB6qqoY87wVUVZ2nqqqPqqo+zs4vbvOVE20JDEOnV3nP+58D8C+WmJZIh7UdSNOl4ZbfDVVVGbprKLP8ZzGy1kimNp6Koig8Sn5Eh7UdGL5nOC3cW3B2wFlqFq35lq7GMP1v8xATIxM8nD34ZPcnlP29LMvOLUOv6p85v6V7Sy4OvkiPyj2YfHQyPvN98L/3dOvBwraF2ddjH1/V+4olgUuYcmRKtlxLdivhZM2cbt7cjk5iyMqzpOue/XkJYag++/MzAPpV7Yevqy/rztzlr6sRjGpWDjdnmWYhhHh9L1Mk+wHuiqKUVBTFjMcL87b+45ytQM8nt98DDqiqqiqKkg/YAYxVVfVYVoXOadafuUvlIvaULvDy7YdUVWXgjoFcCr/Eyo4rKWpXlE93f8pMv5l8VvMzpjWeljm94MjtI+y4toOfmv7E5k6bcbDMu7upVXSpyIEeB9jTbQ9OVk702NyDJsuaPHe+cj6LfPzx7h/s6LKD6ORoaiyowRcHvniqtZ6JkQlfN/ia/T32M7buWABSMlKy7XqySw03Rya1r8iR4Egmbr30r/O7hTAk265uI/BhIEXsijCn9RzuxSTz7bbLVCvpQC/ZVU8I8Yb+s0h+Msd4CLAHuAKsVVX1kqIo3yiK0vbJaQsBR0VRrgMjgP+1iRsClAa+VBQl8MlXgSy/CgN26V4sQQ/iee8VF+zN8Z/D8vPL+fqdr2ni1oRhu4cx4/QMRtQYwfdNvkdRFC6FXwKgbdm2BA8NZnjN4Zr3OjYEiqLQtFRTTn90miXtltCubDsURUFVVWJSYp45v6V7Sy4NvkT3yt2ZdGQStf6oRXBU8FPnNCjZACtTK+JT4/GZ58PXB79+7gh1TvaBT1EG1HdjxanbLD5+U+s4QrzQ1qtb6by+M+Wdy3O632nAiBFrA9GpKt+/VwkjmWYhhHhDL9UnWVXVnaqqllFVtZSqqpOe3PeVqqpbn9xOUVX1fVVVS6uqWk1V1dAn93+nqqq1qqpV/vYV/vYux/BsOBOGmbERbSoXfqXHXY64TIvSLRhfbzyf//k5v53+jeE1hvND0x8AGLd/HFXnVuVyxGUAiucrnuXZczojxYgelXswtPpQADYHbcbtVzdm+c1Cp9c9dW4+i3wsencRGz7YQEh0CFXnVuWPgD+eGVE1NjLGq5AXEw9NpO2qtjxKfpRt15MdRjcrR1NPF77dfpm/gvLUX1WRg8SnxvPBug9IykhiQdsFFLItxPwjoZwMjWZim/IUd7TWOqIQIheQHffeonSdni2BYTTyKEA+q1frLjGj5Qw2d97MbL/Z/HTyJ4ZWG8qPTX9Er+oZsH0AU45OoU/VPpR1LPuW0uc+5ZzK4VXIi493fvzcOcgAHTw6cH7QeXxdfem7tS+d1nd6qhC2MrViSbslzGgxgz0he/Cd75s5op8bGBkp/NK5Cp6F7Riy8iyX7j27U6EQWmu8tDGpulRK5S9FjSI1uBgWy49/XqVFhYK87/P6bTaFEOLvpEh+iw5ejSAqMY2OXi/3pq3T6xiwbQDnHpwD4NDNQ3y6+1PalGnDz81+Jk2XRucNnZl/dj7j6oxjdqvZGBsZv81LyFU8nD3Y230v695fR3hiONUXVGfykcnPnFfErgj7uu9jSqMpbAraROU5lTl081DmcUVRGFJtCAd7HiQxPZEhu4Zk52W8dVZmJizs6Yu9pSl9FvtxPzZZ60hCZJp5eian751GQWFfj30kp+n4ZHUADtZmTG5fUaacCSGyjBTJb9GGM3dxsjGjftmX69jxzaFvmHd2HqfDThMUGcT7697H09mTFR1WYGxkzJJzS1h/eT0/Nv2RSY0myT8Gr0FRFN7zfI9Lgy/Rr2o/SuZ73EP1edMqxtQZw/E+xzE3Mafh0oZ8e+jbp+Yh1y5WG7+P/FjWfhnweEFfblnw5mJnwcJeviSm6uiz2J+E1AytIwlBUnoSn+z+BIBfm/9KiXwlmLTzMqERifz0QRXyW+eefvBCCO1JkfyWxCancyAonLaVXTE1/u8f84k7J/juyHf0rNyTDh4daLOqDWbGZmz7cBu25o+7Ynzk9RGHex1mRM0Rbzt+rpfPIh9z28zlw4ofAvDLyV/ot7XfM3OMfV19Odv/LJ0rdOarg1/RYkULIhL/v5d3EbsiFLErgl7V88G6D+iysUuu6afsUciOmV29uPYwnqErz5IhreGExobuHIpe1VOtcDWGVh/K/isPWX7yNh/VLUnt19ioSQghXkSK5Ldk7+WHpOn0tK3y3wv2UjJS6LO1D662rvzY9Ec+WP8Bt2Nvs6nTJmzNbWmyrAmhj0JRFIW6xetmQ/q8JzY1lsWBiyk/qzw7g3c+dczW3Jbl7Zczt/VcDt08RJW5VThy68hT5ygo1C5amzUX11B3UV3uxN4hN6hfxplv363AX1cj+Hrb5VwzUi5yntUXV7MocBFlHcuyv+d+IuJTGbX+PB6F7Pi8mazNEEJkPSmS35KdF+7jms+SykXs//Pc2X6zCYoMYn6b+Yw/MJ4DNw4wv818qhaqSptVbTh863CuKboM1cR3JnKq3ykcrRxptbIVA7YNICEtIfO4oij09+7PyX4nsTK1osGSBkw7Oi1z+oWiKIyuM5qtH24lOCoY3/m+nLx7UqvLyVJdqhdjQD03lp28xcKjN7SOI/Kgo7eO8uGGD8lnkY9T/U5hbWrNqPXnSEjN4NfOVTA3kbUZQoisJ0XyWxCblM6R4AhaVSr0UvOGh1QbwtbOW7kWdY25Z+YypvYYulTsQqf1nThx5wQrO6ykfon62ZA8b/Mu7I3fR36MrDWShQELCXwQ+Mw5VQpW4Uz/M3Tw6MCY/WNou6ot0cnRmcdbl2n9+B9xM2s6r+9Mmi4tOy/hrRndvBwtKxZk0s4r7L54X+s4Ig9JSk+i6fKmwOOuP/YW9iw+fpO/rkYwrqUHZVxefpMmIYR4FVIkvwV/Xn5Auk6lVcVCLzwvNSOVR8mPMDU2paBNQUb8OYK2ZdvyXcPvGLBtANuvbWdWq1l09OyYTcmFhYkF05tM5/on16lTrA4Au4J3kZqRmnmOnbkda95bw+8tfufPkD/xmefzVEHt4ezBqX6n2Nx5M2bGZuhVfY6fpmBkpPDTB1WoWjQfn64OxP9m9H8/SIgs0GxZM5IzknGxdqFz+c4E3olh8s4rNPZwoUdN6Q8vhHh7pEh+C3ZcuE+R/JZU+o+pFt8c+obys8pzK+YWXTZ2oZBNIRa/u5iUjBSuRl1lQv0JDPQZmE2pxd+VyFcCgOCoYFqtbEX1BdUzN26Bx9MrPq72MYd7HyZNl0bNhTVZdm5Z5nEnKyeqFKwCwPj94+m6sWuO387awtSYBT19KZzPkr5L/LkenvDfDxLiDcw/M5+jd46ioHCi7wkSUvQMWXmWArYW/PB+JenwI4R4q6RIzmKxSekcDY78z6kW/vf8mXZsGs1LN+frQ18T+iiU5R2WY29hj7WZNft77GdC/QnZmFw8j7ujO1s6b+Fe/D185vkw/8z8p0aFaxSpwZn+Z6juWp0em3swZOeQZ6ZY2FvYs+riKhosacDDhIfZfQlZysHajCW9q2FqrNDzj9OEx+Xswl8YrnRdOmP2jQHgp2Y/USJfCT5ff46HcSn83qXqK2/QJIQQr0qK5Cy25/IDMvQqrSv+e1eL1IxUem/pjYuNC/WK1WNR4CLG1hnLvfh7NF7amLjUOMxNzGWUxEC0KduG84POU6dYHfpv70+3Td2eKpRdbFzY12MfI2qMYKbfTBosacC9+HuZx8fUGcOGDzZw7sE5qi2oxsXwi1pcRpYp5mjFol7VeJSURq9FfsSnpGsdSeRCo/eOJjolmkYlGzGsxjAWHr3B3ssPGdPCg6rF8msdTwiRB0iRnMV2nL9PUQdLKrja/es5k45M4mL4Rb5r+B3D/xxOddfqtHZvTc/NPcnQZ2BmLCMkhqagTUF2d9vN9MbTqeFa45lfYEyMTPix2Y+s7riacw/O4TXXi2O3j2Ue7+DRgSO9j5CuS6fBkgZPdc7IiSoWsWdmVy+uPoxn8IqzpGVID2WRdT5c/yE/n/qZ3pV7s73LdgJuP2LqriCaerrQp3YJreMJIfIIxdAWFPn4+Kj+/v5ax3gtjxLT8J20j3513RjTotxzz9GretqvaY+9uT23Y29z5v4ZDvY8SMe1HdGres4OOIuTlTTFzwk2XN7AhfALfFnvy6e2B78Ufol2a9pxK+YWv7f8nf7e/TOP3Ym9Q8CDANqWbatF5Cy31v8Oo9afp4OXKz++X1k+/RBvbFHAIvps7UN+i/yEjQgjNd2YVr8dRVFgx9C62FuZah1RCJGLKIpyRlVVn+cdk5HkLPTn/6ZaVPr3rhZGihFbOm/B3cGdQ7cO8WvzX/nyry+5F3+P9R+slwI5Bzl48yBfH/qaJsua8CDhQeb95QuU53S/0zRya8SA7QMYtH1Q5jzlovZFMwvkVRdWMXrv6Ke2us5pPvApyogmZdh4Noypu4O0jiNyuJuPbtJ3a18AJtSfgIWJBZ+vO0d4fAozu3hJgSyEyFZSJGehHRceUNzRivKFnz/Vwv+ePzce3cAvzI9vDn/DB+U/oIlbEy5HXObX5r9SzbVaNicWb2JGyxksencRJ++epMqcKhy4cSDzWH7L/Gz/cDuja49mzpk5NFra6JlFe6fDTjP9+HQ+WPcByenJ2R0/ywxtWJqu1Ysx91Aocw+FaB1H5FAZ+gx85/uiolLDtQaf1viUOYdC2XclnHEtPahcNJ/WEYUQeYxMt8gijxLT8Jm0jwH13BjV/NmpFum6dCrOroipkSkpGSmk6lI5N/Ac+S3zE58aj42ZjXxUnUNdCr/E++veJygyiMCBgVRyqfTU8TUX19B7S28crRzZ1GkTPoUff6qjqiq/nPyFz/78DF9XX7Z23oqLjYsWl/DGdHqVT1YHsOP8faZ3rMQHvkW1jiRymLH7xzL16FRsTG2IGBXByZA4ei/2o1XFQsz4sKq8Pwoh3gqZbpEN9lx6gE6v0upfplrM9JvJ1airlC9QnuuPrjO18VSmH5tOmi4NW3Nb+QcgBytfoDynPzrN/DbzMwvkDH1G5vFOFTpxvO9xjBVj6i6qy8oLK4HHvZaH1xzOxk4bufDwAjUX1iQmJUaTa3hTxkYKP39QhbruTozZeJ49lx7894OEeOJu3F1+PP4jRooRx/se536Mjk9WBVCuoB3T35N+yEIIbUiRnEV2XLhPCUcrPAs9O9UiIjGCiQcnUqdYHTZc3kDn8p359dSvzPSbyd24uxqkFVnNxsyGvl6P51JeeHiBsr+X5fCtw5nHqxSsgt9HflR3rU7XjV0Zu28sOr0OgHbl2nGo1yH6Vu1LPouc+5GymYkRc7p5U7loPoauCuB4SKTWkUQOcC3qGk2WNcHU2JS5redSMp8H/Zf6Y2ykMK+7N1ZmJlpHFELkUVIkZ4HoxDSOh0T96wYiX/31FQlpCaRmpGJjboOlqSWnw06zuN1i3PK7aZBYvE1GihEmRiY0XNKQH47/kNlT2dnamT+7/8kA7wFMPTaVdmvaEZcaB4Cvqy/j640H4My9Myw/v1yz/G/C2tyERb18KeFoRf+lZ7hwN1brSMKApWSkUGNBDYIig5jdajZ9qvRlxJpAQiMTmdnFi6IOVlpHFELkYVIkZ4HMqRbP2UBEVVVMjU1p7NYYv3t+dK/UnUWBixheYzgdPDpokFa8beULlMfvIz/ae7Rn5N6RdFzbkdiUx8WimbEZc1rPYVbLWewK3kXNhTUJiX56sduPJ36k+6bufHPoGwxtzcDLyGdlxtI+1bG3NKXnotOEROTsntDi7am1sBaPUh7h4eRBj8o9+P2v6/x5+SHjW3pQq7R0+hFCaEuK5Cyw4/x93Jys8Shk+8wxRVGYUH8C/vf8qeFag53BO/F09mRKoykaJBXZxc7cjrXvreWnpj+x9epWfjv121PHB/kOYm/3vTxIeIDvfF/2h+7PPLa43WJ6VO7BhIMT6LO1zzPbXOcEBe0tWN6vOkYKdJl/kltRiVpHEgZm+J7hBDwIwFgxZl+Pfey9/JCf9l6jg5crvWXDECGEAZDuFm8oJikN7+/2Mah+KT5vVvapY/tD92NhYsHiwMUsClzE2QFnMTUyJU2XRuWClTVKLLKb/z1/KrlUwszYjOjkaBwsHTKPhT4Kpe2qtgRFBvFr818Z7DsYRVFQVZVvDn3DxEMTaViyIZs7bcbW/Nlfwgxd0IM4Os87ibWZCWsG1KBIfvn4XMCx28eos6gOALu67qK0XW3azTyOm7M1awfUxMLU+D+eQQghsoZ0t3iL/roajk6v0sTz6dZdabo0Ptr2ET0292BBwAIGeA+gkkslPJw9pEDOY3wK+2QWyFXnVmXQ9kGkZqQC4JbfjRN9T9DSvSVDdg1h0I5BpOvSH38C8c4ElrRbgq2ZLZamlhpfxespV9CO5X2rE5eSTtcFp3gQm6J1JKGxDH0GXTZ0AWBkrZF4uzSg1yI/LEyNmdPNWwpkIYTBkCL5De27HE4BW3Mquto/df+igEXciLlBhi6DInZF2Bi0kfH7x2uUUhgCO3M7OpfvzJwzc6i/uH5mZxNbc1s2ddrEmNpjmHtmLk2XNyUqKQqAHpV7sKnTJkyMTHiQ8IAz985oeQmvpYKrPUv7VCMyPpUuC04SEZ+qdSShkQx9BoO2D+J23G1au7dmYv3J9F3iR1RCGn/08qFwvpz5y6AQIneSIvkNpGXoOXQtgkYeLhgZ/X9Xi9SMVL478h3F7ItxO+427g7uRCRGyEK9PM7EyIRpTaax/v31XIq4hNdcL/668RcAxkbGTGk8hWXtl3HizgmqLajGpfBLAJkdU4buGkq9xfXYErRFs2t4XVWL5WdR72rcj0mh24JTRCfmvHnW4s21XtmaBQEL6F6pO5s7b+WTVQFcDItlxodVqVQk57Y/FELkTlIkv4FTN6JISM2giWeBp+5fcHYBd+Pu8jDhIdVdq/PXzb8YV3cc3oW9NUoqDElHz46c7ncaRytHph6b+lQHi26VunGo1yGS0pOoubAm269tzzz2e4vfqVCgAu3/r737Do+6Sts4/j0z6SQkQCqhS4CEIgkl9N5VBBQERVooVhRZFRZfC+6CAjaqFJEqIkXKCoYm0iEQeguEHkihhPQyM+f9I2wWo+DQMkl4PtfFZWbmN+Q+Oc7k4cwpi7vyza5vbBH9gdSvWJLv+tbl3LVUes/azc20bFtHEvnorbVvER4dTnGH4sx8ZiajVx9lw/F4Pu5cnTZBhfOkSSFE0SZF8gPYcCwOZ3sjjZ7441ZFdgY7yruXx2Q2cTbxLLV8avFBsw9slFIURIFegewZuIcfuv2AUoqE1ASSM5MBCC0TSsSgCAJKBdB5UWfGbR+H1hofVx9+6/sbXap14e3wtxm6dmjugSSFRaPKnkx/uQ6n41N46btd3JAR5cfCwkMLmbgnZ4eXJT2WMH9nDHN3nmdQ04r0aVjBtuGEEOIOpEi+T1prNhyPp0mA558WmjQt35SLSRfpFtQNgzIw59k5OBgdbJRUFFRujm6UcimF1pqey3oSOiuUE1dPAFCmeBm29t9K9+rdeX/D+/Rd0ZcMUwYu9i4s6b6E4Q2HEx4dTnJWso1bce9aVPVmep86RMWl0GvmLq6myBzlouxI/BFe/vllAD5r/RnmtJr8e81xOtX0ZWTHQBunE0KIO5Mi+T4dv5JMTGI6bQP/9zFhWnYai48sZsSGEbg6uDL1qamcfesswX7BNkwqCjqlFKOajiIhLYH6M+vz8/GfAXCxd+HH537k05afMv/QfFrMacGV5CsYDUYmtJtAxKAIPJw8yDRlcjn5so1bcW9aVvVmdt96nLuWSq8Zu4hPkl0viiKzxUzXxV3RaLoHdqd1mUG8vfgAwWU9+LJH7T+s5RBCiIJGiuT7tOF4HEpBy2r/m488LWIaPZf1ZHXUatpXak8JpxI42TnZMKUoLFpVbEXk4IdWXQwAACAASURBVEgCvQLp9lM3Rm4YidliRinFB80+YFmPZRyOP0y9mfVyd7go7lgcgKFrh1JvZj32X9lvyybcsyYBnszpX5+YxHR6ztgl28MVMWaLmWHhwzh9/TRNyjbh/xrNoP/3EZT2cGZmn7qy1ZsQosCTIvk+bTgeR3BZD7zcHAFIyUrh8+2fU9yxOO6O7iw5voT1Z9bbOKUoTMq6l2VLvy0MDhnM4qOL/zCVoltgN3YM2IHRYKTp901ZfGRx7mNv1H8Do8q5f/XJ1baIft8aVCrFvAH1iU/OpMf0nVy6kWbrSOIh6bCgA5P2TCKsdhjfPbWGPrP3UNzZnoUDQynl6mjreEII8bekSL4PcUkZHLp0k9a3TbWYsmcKCWkJJGUmkWXOom2ltrR/or0NU4rCyNHOkenPTGfv4L25UykOxx0G4EnfJ4kYFEGd0nXouawnozaOwqIt1PSpye6Buwn0CqTL4i58tfMrCtpJmndTt0JJFgwMJTEtixemyxHWRUHYqjA2nN2Ap4snIxt9Qe9Zu7E3Glg4MFT2QhZCFBpSJN+HjcfjAXJP2UvKTGLcjnG42LtQwqkE2ZZsvunwTe7+tkLcq/8eXT3699HUm1mP2ftnA+BdzJuNfTYyMHggY7aNocuPXUjKTMLPzY/NfTfTpVoXPvn9E2JTYm0Z/57VLuvBD4MakJZl4rlpOzkSc9PWkcR9+teWf+X+//r9M8vo890+ss0WFg4MpYJnMRunE0II60mRfB82HI+jXEkXArxdATifeB6jMpKWnUZiRiJD6w8l0EtWbYsH93aDt2lSrglhq8IYsnoImaZMHIwOzHhmBpM7TmbNqTU0mNWAU9dOUcyhGEu6L2H3wN34ufmhtSYlK8XWTbBaDX93lrzSCAejoueMXeyIvmrrSOIeLTq8iP/77f8AmN5pHl/+x0JSejbzw0IJ8HGzcTohhLg3UiTfo7QsE9tOX6VNoE/uSHF5j/JorQn2DaZFhRZ82PxDG6cURYVXMS9+7f0rIxqPYEbkDJp+35QLNy+glOL1+q+zoc8G4lPjqT+rPuui12FQBqp6VgXgy51fEjI9hKhrUTZuhfUqe7uy7LVGlPZwot/sCH45dMXWkYSVYpJiCFsVBsBHTf/N8u3luXIzgzkD6lHD393G6YQQ4t5JkXyPtp66SpbJQptbp+wdjD3ImK1juJp+lelPT2dT3024O8kvBPHw2BnsGNtmLMt7LCcmOeYPo8MtKrQgYlAE5dzL0XFhR77c+WXufOQGZRpwI+MGobNC2Xhmo63i3zM/d2eWDGlErTLuvLEoknk7z9k6kvgb5xPP0+XHLmSaMxlW/312HWrCmaupzOpblzrlS9o6nhBC3Bcpku/RhmNxuDnZUa9CSUwWU+6JaNW9queO4AnxKHQN7Er00GiCvILQWrP65Gos2kLFEhXZPmA7Xat1Zfi64bz888ukZafRuFxj9gzcg7+bPx0WdmBaxDRbN8Fq7i72LBgYSutqPny48ihfrDtZqBYjPk6upl6l5rSa7L2yl5lP/cCBox04fy2N7/vVo3Flz7//C4QQooCSIvkemC2aTSfiaVnVG3ujgeXHl3Mh6QIazbGEY5y8etLWEUUR9999t9efWU/nHzvTdXFXEjMScXVw5afuP/Gvlv/ih8M/0Hh2Y84lnqNiiYrsCNtBuyfa8cbaNzgSf8TGLbCek72Rb3uH8ELdskzadJp3lx4i01S4juEu6jJNmVSaWInkrGS6V32Z79Z7kZCSyYKB9aVAFkIUelIk34MDFxO5lppFmyAftNZ8vu1zABSK/rX7U8+/no0TisdF20ptmdhhImtOraHOjDociD2AQRkY1WwU/3nxP5y9cZa6M+qy4cwGijsWZ1XPVWzuu5ka3jWAnOKmMLAzGvjsuZq81TqApfsu0XvWbq7JMdYFgslsotzX5UjOSsa3mD9nTr9MeraZRYMayBQLIUSRIEXyPdhwPA47g6J5FS+2XdhGZGwkAA5GBz5t9amN04nHiVKKN0PfZEu/LWSaMmn4XUMWHFoAQKeATkQMisDH1Yf2C9rzxY4vMCgDTcs3BeDX078SOCWQA7EHbNkEqymlGNa2CpN6BXPo0k2enbKdk7HJf/9E8UhVnlSZ+NR4ijt44JU6HYNSLB7cQBbpCSGKDCmS78GGY3HUr1gSd2d7Vp5cmXv/m/XfpLRbaRsmE4+rhmUbEjkkkiblmuDu+L/iJKBUALvCdtG1Wlf+sf4fvLj8RVKzcg7p8HLxItuSTaPvGrHk6BJbRb9nzzxZmp+GNCTLZKHb1O1sPB5n60iPrReXvcj5m+dxtS9O6Yy5FHdyZukrjWSbNyFEkSJFspUuXk/jVHwKrarl7GrhUyznIJE2FdvwfpP3bRlNPOa8i3mzrvc6nqn6DAALDi0g6loUbo5uLOm+hLGtx7L4yGJCZ4Vy8upJ6pSuQ8SgCIL9gumxtAcjN4zEbCkcc32fLOvBqjeaUMnLlYHz9jJjS7Qs6MtHWmsGrxrMoiOLKOMagFfq9/i7u7PklYaUK+Vi63hCCPFQSZFspS2nEgBoUdWba2nXmLBzAm0rtWV9n/V4usgCFWFb/92zOyUrhX+s+wd1Z9Tlp6M/oZRiRJMRhPcOJy41jnoz67H02FJ8XX3Z1GcTg0MG89n2z/j5xM82boH1fN2d+GlIQzrV8GPMmhMMW3yA1EyTrWM9FurOqMvM/TOp4FoXQ8IEGlfyZ9mrjfBzl6OmhRBFjxTJVtoSlYC/hzPFXdIo+1VZ4lPj6Ve7n61jCfEHrg6u7Bm0hxreNXhh6Qu8/svrZJoyaftEWyIHRxLkFUT3Jd0ZHj4cgzIw/ZnpbOyzkecCnwPInZJR0Dk7GJnUK5jhbauw6uBlOk/eJvOUH7G6M+oSGRuJvSqGOWEULzeoyOx+9XB3trd1NCGEeCSkSLZCttnCjtPXaFbFk8kRk0k3pQM5J0wJUdCUcy/H7/1+Z3jD4UzdO5Vmc5qRbc6mrHtZtvTfwhv13uDLXV/Sal4rLidfplXFViiliLoWRaWJlZi9f7atm2AVg0HxZusAFgwM5Wa6iWenbOOniIsy/eIRCJ0Vyr4r+1DY45s+ndHPPMmnz9bA3ii/QoQQRZe8w1nhwMVEkjNNhFZy5audXwFQ0qkkr9d/3cbJhPhr9kZ7JrSbwMqeK+lZvSf2xpzRPgejA5M6TWJht4VEXokkeHowm85uAqCkc0lq+dQibFUYQ1YPKTTbxDV6wpM1bzUhpFwJ3lt2iOFLDpKWJdMvHpZ289uxJ2YPCjsCLHOZ268t/RpXzJ3iI4QQRZUUyVbYEpWA0aA4k7aGlOycI4E/afkJLvayUEUUbJ2rdmZYw2EAhJ8OZ8jqIaRlp/FizRfZM3APJZ1L0mZeGz787UM8nDz49aVfGdlkJDMiZ9BodiOir0fbuAXW8XZzYn5YKG+1DuDn/TF0nrydE7FJto5VqGmteW/de6w/sx6DdqOu/WJWvfo0Lat62zqaEELkCymSrbAlKoEny7gzYecYIGc3gcF1Bts4lRD35kDsAWZGzqTujLocjjtMde/qRAyKoM+Tffh0y6e0ntea2JRYxrQew8qeKzl74yzf7P7G1rGtZjTk7Ke8ICyUxLQsOk/azpTfTmMyW2wdrdDJNmdTY+qTjN85HmdTY/pXWsv6Yc9Q1Ve2eBNCPD5UQZu/V7duXb13715bx8h1PTWLOv9az9BWlZl4rAPX068zqeMk+jzZx9bRhLhn66PX02dFH26k3+DL9l/yat1XUUox98BcXlvzGi72LszrMo+OAR25cPMCXi5eONs7cy7xHL6uvrnHYhd011Iy+XDlUX45fIWa/u5M6P6kFHh/Y8X+GMaHn+Ri4nVinPtiIQ1HS1VmdFjLyw0qyPQKIUSRpJTap7Wu+1ePyUjy39h6KgGtwc7lIOcSzzHtqWlSIItCq+0TbTn4ykFaVmzJ62teZ82pNQD0rd2XfYP34efqR6cfOvH++vfxc/XD2d6ZbHM2HRZ0oOF3DTl17ZSNW2CdUq6OTHkphCkvhhCTmM7Tk7YyedMpGVW+gxX7Yxi5/DAXEuO45PQSFtIwWryZ0GwVfRrK/GMhxONJiuS/sSXqKsWck/hw2xDcHd15PvB5W0cS4oF4F/Pmlxd/YXmP5XQK6ARAXEoc1TyrsXvgbobUGcK4HeNoNLsRUdeisDfa80W7L7hw8wJ1ZtRhwaEFhWYHiadq+bF+WDPaBfkyYV0UXafu4Nhlmauc1/jwk9zMPs8lp5fRKgs7SznKZM5mUcQlW0cTQgibkSL5LrTWbD2VgMF9FYkZiQAYDUYbpxLiwRmUga6BXVFKcS7xHFUmV2Ho2qEAfPv0tyztvpQzN84QPD2YGftm0CmgEweGHOBJ3yd5+eeX6bWsFylZKTZuhXVuH1W+fGtU+Z8/H+ZaSuHYveNRS87I5uzNaK44vQmYcTBXxz9zKgCXE9NtG04IIWxIiuS7OBGbTFxyGieTVwDwQbMPpEgWRY5PMR/61+7PpD2TCJkRQuSVSJ4Leo5DrxyicdnGDPnPEJ798Vkc7RzZ3HczY1qN4UrKlUIzP/m/nqrlx8bhzenTsAKLIy7SYsJmZm09Q5bp8ZyCobXm1yNXqDl+OLGO76Aw4JE9AL+sz3OvKe0hJ+kJIR5fUiTfxZaoBFINO8i2ZOBgcOCN+m/YOpIQD52zvTNfd/iadb3XkZSZROisUMZsHUNpt9L82vtXvm7/Neui11FzWk1+Pf0rI5uOZFOfTdgZ7LiadpWPfvuo0Oyp7OHiwMedqxP+dlNCypXgX78cp8PXW9h4PK7QTCF5GC5eT2PQvL10XfwM5y2TsDOaqGCejLu5W+41zvZG3m1f1YYphRDCtqRIvostpxJIdZoHwOA6gwvdyJkQ96LtE205/OphugV24+yNsyilMCgDbzV4i72D9+Lr6svTi55m0KpBuVMtVpxYwegto6k/qz6H4g7ZuAXWq+ztxtwB9fm+Xz1QEDZ3L71m7mLbqatFuli+nJjOP38+TPMJG5l35lky7PZhVEaOvnaIL7t1xN/DGQX4ezgztltNugT72zqyEELYjGwBdwdpWSZqfbKW8049UJiJfzceDycPW8cS4pHTWmOymLA32rPv8j7Co8N5r/F7mC1mPvztQybsnEBpt9LMeHoGHQM68kvULwxYNYDr6df5Z5N/MqrZKByMDrZuhtWyTBYW7j7Pt79HE5eUyZNlPXi9xRO0CfTBYCgauzrEJ2UwdXM0P+y+QBaxXHZ8nWydjou9C2eGnsHH1cfWEYUQwiZkC7j7sPvMdW7qnZgsGSx6bpEUyOKxoZTKPcZ62fFljNo0itBZoZy8dpLP237OzrCdFHcsTqcfOtFvRT8alW3EsdeO0bNGT0ZvGc3IDSNt3IJ742BnoH/jimx5ryVjutbkRmoWg+fvo+M3W1l5IKZQbxsXn5zBv385RtNxvzF/13maBKUS75JTIFf0qMiN925IgSyEEHcgI8l38OHKg4yNbI+fuyNn3z4jC/bEY2vpsaW89strJGYkMqrpKEY2HYnWmk+3fMpn2z7Du5g33z79LZ2rdmbNqTWE+IXg6+rL5eTLeDh5FLrj201mC/85dIWpm08TFZeCb3EnuoX483ydMlTycrV1vL9lsWi2nr7Kot0X2HA8DovWPFvbjwt6AuFnVmHRFoaGDuWzNp/ZOqoQQtjc3UaSpUi+gwpj+nM+ew41vGtw+NXDto4jhE1dTbvK0LVDWXRkEVM7TeXVeq8CsO/yPvqv7M/h+MM8H/Q8X7f/Gv/i/mitaT6nOVdSrvDtU9/SulJrG7fg3lksmo0n4lm05wKbT8Zj0VCnfAm61ynDU7X8cHOyt3XEP4hLymDJ3ov8GHGRSzfSKVnMge51ytAs0MAzPzXkRsYNyruXZ9uAbZQpXsbWcYUQokCQIvkeXbqRRrlvPNEqnV1huwgtE2rTPEIUFOuj19O8QnMcjA7sidlDpRKVKO5YnHHbx/Hvrf/GzmDH6BajeTP0Tbae38qg1YOIvhFN96DufNn+y0JbnMUnZbB8fwxL9l4kOiEVJ3sDLat606yKF00DPClTIv9Hy7XWnI5P4feoBDafTGDnmWuYLZrGlUvRq3452gb5sOjwfAasGoBGU9qtNGeHnsXBrvDMFxdCiEftgYtkpVQH4BvACMzSWn+W53FHYB5QB7gGvKC1PnfrsZFAGGAGhmqtw+/2vWxdJK/YH8PwVQs5o9/HqFxZ2vmErPAWIg+TxUTApACSMpMY33Y8/Wr341ziOd5Y8wZrT6+llk8tpj01jRC/EMZtH8fYbWMxKiNrXlpDs/LNbB3/vmmtOXAxkaX7LrHxeDyxSRkAVPIsRtMAT5oGeFGvQkncXR7NKPP11Cwizl1n88kEtkQlEHPrsI8Ab1faBvnwQr2ylC9VDK01z/74LKujVgPQrlI71vZei0HJMhQhhLjdAxXJSikjEAW0BS4BEUAvrfWx2655DailtX5FKdUT6Kq1fkEpFQQsAuoDpYENQBWttflO38+WRfKK/TGMXH6YU4Z+mA1xlMx8DW/jM7IVkhB/4Wj8UV755RW2XdhGk3JNmNxxMrV8arHixAqG/jqUS0mXCAsOY2zrsaRkpTB221i+7vA1LvYuJGYkFvrFsP8dyd1y6ipbTyWw68w1MrJzFvl5uzkS4ONKgLdb7n/9Szjj6miHq6MdxjvsmmG2aFKzTCRnmLiSmM7JuGROxaUQFZdMVFwyV1OyAHB1tKNx5VI0r+JN86pe+N926Ef09Wj6rOjDjos7MCojU5+ayuA6gx/9D0QIIQqhBy2SGwIfa63b37o9EkBrPfa2a8JvXbNTKWUHxAJewIjbr739ujt9P1sWyY0/28SlxCQuOHUFjJTPWAnk7Bm6fUQrm2QSoiCzaAtzD8zl3fXvcj39OnsH7yXEL4SUrBRG/z6ar3Z9hYu9C/9s8k+Ghg7F2d6ZDFMGNabWIMgriDGtx1DDu4atm/FQZJrM7Dt3g8MxNzkVn8KpuGROxaeQlvXnMYFiDkZcnexwc7JHAckZJlIyc/7k5eJgJMDHjSrerlT1daOGvzsh5UrgYPfHUeFradfovKgzu2N2Y6fsaFWpFfO6zsPTxfNRNVkIIQq9uxXJdlY83x+4eNvtS0DeSbq512itTUqpm0CpW/fvyvPcPw3JKqUGA4MBypUrZ0WkR+NyYjoWUnCyNMDFVP8P9wsh/sygDPQP7k+Xal1YcGgBwb7BAByMPcjolqMZEDyA99a/x4iNI5i6dypjWo2hW2A3BoYM5LNtn1FrWi361u7LJy0+oZy77V77D4OjnZFGlT1pVPl/RanForl8M51TcSnEJ2eQnGH6X0GcYSI5Mxutwc3JDldHe9yc7G59bYeXmyNVfNzw93C+637NWmum753Om2vfxKRN+BbzZUOfDVT3rp4fzRZCiCLLmiL5r96d8w4/3+kaa56L1noGMANyRpKtyPRIlPZwJiYRfLI++NP9Qog7K+FcgjdD3wRyRjTbLWiHdzFvxrUZx8qeK9l8bjP/WP8Pev/cm7q76zKh7QSih0YzdttYJu+ZzKLDi9g1cBe1fWvbuCUPl8GgKFPC5ZEt7Dt74yxNv29KTHIMAGXcyrB9wHbKeRTuf3AIIURBYM0qjktA2dtulwEu3+maW9Mt3IHrVj63wHi3fVWc7f+4H7KzvZF321e1USIhCp9SLqVY1XMVbg5u9FjagwbfNSDLnMWegXuY12UesSmxtJjbgt4/9+b5oOeJejOK9xq/Ry2fWgBsOruJa2nXbNyKgi3bnE346XDqzaxHTHIMBmVgZOORnB92XgpkIYR4SKyZk2xHzsK91kAMOQv3XtRaH73tmteBmrct3Oumte6hlKoO/MD/Fu5tBAIK6sI9yFm8Nz78JJcT0ynt4cy77avKoj0h7oPZYmbuwbl88vsnXLx5kZNvnCSgVADp2elM2jOJ8TvGczXtKu2eaMdHzT+iUdlGZJgyKP1FaTLNmQwOGcw7Dd+hrHvZv/9mj4nkzGTe3/A+8w/NJyUrBVd7V0L8QvjhuR/wLy7vU0IIca8exhZwnYCvydkCbrbW+t9KqdHAXq31KqWUEzAfCCZnBLmn1vrMreeOAgYAJuBtrfXau30vWxfJQoiHK9OUyeZzm2lfuT0A47aPo2m5ptT0qcm0iGmM3zGehLQEWldszUfNP6KUSyk+3/45Cw8txKAM9K7Vmw+afUClEpVs3BLbSUhNYOy2sUzZM4UsSxYGDIxqNor3Gr2Hq2PBPwVQCCEKKjlMRAhRICRlJlFlUhXiUuNoXbE17zZ6l8ZlGzN933TG7RhHfGo8jco2Ymj9odTxq8PEPROZFTmLzf02U9+/PjfSb+Dm6IadwZrlFEXD1gtbaTmnJeZbH8AZlZHJnSbzSt1XbJxMCCEKPymShRAFRkpWClMjpvLN7m+4nHyZmt41mdNlDtU8qzErchYTd08k+kY0/m7+vFbvNV6o/gJPlHwCgLCVYYRHhxMWHEZYSFih3xHjTg7EHmD7xe2cSDjB1IipWLCgUPSq2YtxbcbJ1AohhHhIpEgWQhQ4WeYsFh1exOSIyazutRpfV1+irkVRwqkEu2N2M3H3RNafWY+j0ZGXar7E4DqDSUhNYMreKYSfDkcpRcfKHXm93ut0DOho6+Y8sITUBBYeXsi0iGlEXY8CckaNa3jXIKBUAOPbjqeCRwXbhhRCiCJGimQhRKHQ7Ptm7InZw3NBzzEweCBexbyYsmcK8w7NIy07jYCSAfSu1Zvm5Zuz/sx6Zu+fTfeg7nzT8RvMFjM/Hf2JjgEdC91pfhN3TeSdde/kTqkAaFOxDTM7z6S8e3mUuvM+yUIIIe6fFMlCiELhYOxBZkXOYsHhBSRmJPJEiSf4oNkHdK3WlWXHl7Hg0AI2n9uMRtOobCNerPEi7Z9oT+VSldl+YTtNvm+CvcGeNpXa0CmgE83LN6e6d3UMyprdLvPHhZsXCD8dztrTa2lRvgX7Y/ez8PBCsi3ZADgYHXip5kuMaDKCKqWq2DitEEIUbVIkCyEKlfTsdJYfX86s/bPoWq0rQ0OHkpiRyI9HfqRe6XpsOLOB+YfmczQhZyfKOn516Fi5I+Xcy3Hi2gl+Pv4zZxPPArC572aaV2jO2RtnScxIpJZPLYwG492+/UOXnJnMx5s/Zs3pNZy4egIAhUKjcbFzQSlFCecSvNPgHfoH9y90I+FCCFFYSZEshCi0tNYopVh6bCndl3RHoWhcrjFdq3UlyCuIyCuRrDm1hp2XdmLRFko6l6RdpXbU9KmJyWJiWINhuDm6MWLDCD7f/jmORkeqelYlyCuIIM8g3m/yPg5GB8wW8wMVz7EpscQkxXDy2kn2X9nPgbgDVPeqzsu1XmbHxR28u/5dssxZaDQKhaPRkTld5tApoBNX065S3qN8gRrxFkKIx4EUyUKIQk9rzdGEoyw/vpzlx5dzMO4gABeHXaRM8TJEXolkb8xetl/azq+nfyU+NR4AZztnQvxCCPIKwt5oT2pWKldSrhB1LYrEjESuv3cdpRQvLX+JFSdW4OniiZeLF54unlQqUYmpT00FcvZ3PhJ/BIu2YNEWEjMS8XH14ftnvweg5rSaHIk/AuQsuHOycyLTnInJYgLAzmCHyWLCoAy0KN+CF2q8QN8n++Jo55jfP0ohhBC3SJEshChyTl8/zbrodbxW7zUAei3rxY9HfiTIK4jm5ZtT0aMiJouJ+NR49lzeQ+SVSDJMGbnP93TxpLx7eSqXrExFj4rEJMcQmxJLhimD9Ox0UrJTKO5QnEmdJpGalcqnWz7Nnd6htcZoMOJq74qvmy9nb5wlJjkm9+82YMDZ3pmnAp7iuaDnyDBlMPfAXHpU70HXwK54F/PO3x+WEEKIvyRFshCiyNt/ZT/rotex+fxmtl3YRkpWCsG+wUQOiQRgxIYRXE+/jp3BjgxTBkkZSSSkJxCTFMP5m+dzR3ytpVD4uPpQpVQVSjmXYu3ptblFuJOdEw3KNODj5h/TvELzh95WIYQQD8fdiuTH59gqIUSRFuwXTLBfMO83eR+TxUT09WiSMpNyH998bjMRlyOwaEvufd0Cu/F7v98xW8yEzAghPTsdyCmAUdDAvwEv1HgBO4MdnRd1JtOcmftcjaZ3zd6Mbzee9Ox0hq8bTqBnILV9a1Pfv75MoxBCiEJOimQhRJFjZ7CjqmfVP9y3a+Au0rPTuZx8mdiUWGJTYvF08QTAaDBS27c2adlpmC1mzNqM2WKmnn89OgV0AmBYg2G4O7lT0rkkJZ1LUqZ4GQI9AwFwtnfOnbsshBCiaJDpFkIIIYQQ4rF0t+kWst+QEEIIIYQQeUiRLIQQQgghRB5SJAshhBBCCJGHFMlCCCGEEELkIUWyEEIIIYQQeUiRLIQQQgghRB5SJAshhBBCCJGHFMlCCCGEEELkIUWyEEIIIYQQeUiRLIQQQgghRB5SJAshhBBCCJGHFMlCCCGEEELkIUWyEEIIIYQQeSitta0z/IFSKgE4b+scgCdw1dYhxCMj/Vv0SR8XbdK/RZ/0cdFXEPq4vNba668eKHBFckGhlNqrta5r6xzi0ZD+Lfqkj4s26d+iT/q46CvofSzTLYQQQgghhMhDimQhhBBCCCHykCL5zmbYOoB4pKR/iz7p46JN+rfokz4u+gp0H8ucZCGEEEIIIfKQkWQhhBBCCCHyeKyLZKVUB6XUSaXUaaXUiL943FEptfjW47uVUhXyP6V4EFb08TtKqWNKqUNKqY1KqfK2yCnu39/18W3XPa+U0kqpAruSWvyZNf2rlOpx63V8VCn1Q35nFA/Givfpckqp35RS+2+9V3eyRU5xf5RSs5VS8UqpI3d4XCmlJt7q/0NKqZD8zngnj22RrJQyAlOAjkAQ0EspFZTnsjDghta6MvAV8Hn+phQPwso+3g/UjRGVKQAAA2FJREFU1VrXApYC4/I3pXgQVvYxSik3YCiwO38TigdhTf8qpQKAkUBjrXV14O18Dyrum5Wv4Q+An7TWwUBPYGr+phQPaA7Q4S6PdwQCbv0ZDEzLh0xWeWyLZKA+cFprfUZrnQX8CDyb55pngbm3vl4KtFZKqXzMKB7M3/ax1vo3rXXarZu7gDL5nFE8GGtexwCfkvMPoIz8DCcemDX9OwiYorW+AaC1js/njOLBWNPHGih+62t34HI+5hMPSGu9Bbh+l0ueBebpHLsAD6WUX/6ku7vHuUj2By7edvvSrfv+8hqttQm4CZTKl3TiYbCmj28XBqx9pInEw/a3fayUCgbKaq3/k5/BxENhzWu4ClBFKbVdKbVLKXW3EStR8FjTxx8DvZVSl4A1wJv5E03kk3v9XZ1v7GwdwIb+akQ471Yf1lwjCi6r+08p1RuoCzR/pInEw3bXPlZKGciZKtUvvwKJh8qa17AdOR/TtiDnk6CtSqkaWuvER5xNPBzW9HEvYI7W+gulVENg/q0+tjz6eCIfFNha63EeSb4ElL3tdhn+/BFO7jVKKTtyPua520cGomCxpo9RSrUBRgGdtdaZ+ZRNPBx/18duQA1gs1LqHNAAWCWL9woNa9+nV2qts7XWZ4GT5BTNonCwpo/DgJ8AtNY7ASfAM1/Sifxg1e9qW3ici+QIIEApVVEp5UDOYoBVea5ZBfS99fXzwCYtG0sXJn/bx7c+ip9OToEscxkLn7v2sdb6ptbaU2tdQWtdgZx555211nttE1fcI2vep1cALQGUUp7kTL84k68pxYOwpo8vAK0BlFKB5BTJCfmaUjxKq4A+t3a5aADc1FpfsXUoeIynW2itTUqpN4BwwAjM1lofVUqNBvZqrVcB35Hzsc5pckaQe9ousbhXVvbxeMAVWHJrTeYFrXVnm4UW98TKPhaFlJX9Gw60U0odA8zAu1rra7ZLLe6FlX08HJiplBpGzsfw/WTAqvBQSi0iZzqU56155R8B9gBa62/JmWfeCTgNpAH9bZP0z+TEPSGEEEIIIfJ4nKdbCCGEEEII8ZekSBZCCCGEECIPKZKFEEIIIYTIQ4pkIYQQQggh8pAiWQghhBBCiDykSBZCCCGEECIPKZKFEEIIIYTIQ4pkIYQQQggh8vh/aReX3CmpgYcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#step 0 Initiate x with the min and max of the search space.\n",
    "xsamples=np.array([[0],[1]])\n",
    "\n",
    "#step 1 Calculate y using x and objective function.\n",
    "ysamples=np.array([objective(x) for x in xsamples])\n",
    "\n",
    "for i in range(4):\n",
    "    #step 2 Fit the surrogate function.\n",
    "    surrogate.fit(xsamples, ysamples)\n",
    "    mean, std=surrogate.predict(X, return_std=True)\n",
    "    \n",
    "    #step 3 Find new x using acquisition function.\n",
    "    new_x=acquisition(mean, std)\n",
    "    \n",
    "    #step 4 Go to 1\n",
    "    new_y=objective(new_x)\n",
    "\n",
    "    #plot\n",
    "    print(new_x, new_y)\n",
    "    plot(X, y, xsamples, ysamples, mean, std, new_x, new_y, i)\n",
    "    xsamples=np.vstack((xsamples, new_x))\n",
    "    ysamples=np.vstack((ysamples, new_y))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 [0.87] [0.0811051]\n"
     ]
    }
   ],
   "source": [
    "#report the result\n",
    "max_at=np.argmax(ysamples)\n",
    "print(max_at, xsamples[max_at], ysamples[max_at])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Optimization using Hyperopt\n",
    "\n",
    "The above code is only used to demonstate the algorithm. In daily work, we use tools like Hyperopt."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████| 100/100 [00:00<00:00, 516.72trial/s, best loss: -0.08111389219843222]\n",
      "{'x': 0.8679944307847185}\n"
     ]
    }
   ],
   "source": [
    "from hyperopt import fmin, tpe, hp\n",
    "best = fmin(\n",
    "    fn=lambda x:-objective(x),\n",
    "    space=hp.uniform('x', 0, 1),\n",
    "    algo=tpe.suggest,\n",
    "    max_evals=100)\n",
    "print(best)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.08111392201180685"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "objective(0.8677763535516424)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
